Rendiconti del Seminario Matematico dell 'Universita' di Padova/Mathematical Journal of the University of Padova, ISSN 0041-8994, 2018, Volume 139, pp. 225 - 240

In this paper we introduce and study the concept of cyclic subgroup commutativity degree of a finite group G. This quantity measures the probability of two...

Subgroup lattice | Subgroup commutativity degree | Poset of cyclic subgroups | Cyclic subgroup commutativity degree | MATHEMATICS | ELEMENTS | MATHEMATICS, APPLIED | subgroup commutativity degree | PROBABILITY | poset of cyclic subgroups | COMMUTE | subgroup lattice

Subgroup lattice | Subgroup commutativity degree | Poset of cyclic subgroups | Cyclic subgroup commutativity degree | MATHEMATICS | ELEMENTS | MATHEMATICS, APPLIED | subgroup commutativity degree | PROBABILITY | poset of cyclic subgroups | COMMUTE | subgroup lattice

Journal Article

Communications in Algebra, ISSN 0092-7872, 02/2019, Volume 47, Issue 2, pp. 541 - 552

In this paper we study probabilistic aspects such as the (cyclic) subgroup commutativity degree and different types of factorization numbers of ZM-groups. We...

Cyclic factorization number | 20P05 | subgroup commutativity degree | Secondary 20D30 | number of maximal factorizations | Primary 20D60 | 20E28 | 20F16 | cyclic subgroup commutativity degree | factorization number | MATHEMATICS | ELEMENTS | FACTORIZATION NUMBERS | COMMUTATIVITY DEGREES | FINITE | Commutativity | Subgroups

Cyclic factorization number | 20P05 | subgroup commutativity degree | Secondary 20D30 | number of maximal factorizations | Primary 20D60 | 20E28 | 20F16 | cyclic subgroup commutativity degree | factorization number | MATHEMATICS | ELEMENTS | FACTORIZATION NUMBERS | COMMUTATIVITY DEGREES | FINITE | Commutativity | Subgroups

Journal Article

FILOMAT, ISSN 0354-5180, 2019, Volume 33, Issue 13, pp. 4021 - 4032

In this paper we introduce and study the relative cyclic subgroup commutativity degrees of a finite group. We show that there is a finite group with n such...

MATHEMATICS | ELEMENTS | MATHEMATICS, APPLIED | PROBABILITY | poset of cyclic subgroups | NILPOTENT GROUPS | relative cydic subgroup commutativity degree | relative subgroup commutativity degree | cyclic subgroup commutativity degree | 3 CONJUGACY CLASSES

MATHEMATICS | ELEMENTS | MATHEMATICS, APPLIED | PROBABILITY | poset of cyclic subgroups | NILPOTENT GROUPS | relative cydic subgroup commutativity degree | relative subgroup commutativity degree | cyclic subgroup commutativity degree | 3 CONJUGACY CLASSES

Journal Article

Acta Mathematica Hungarica, ISSN 0236-5294, 04/2015, Volume 145, Issue 2, pp. 489 - 504

We introduce and study the concept of cyclicity degree of a finite group G. This quantity measures the probability of a random subgroup of G to be cyclic....

cyclicity degree | poset of cyclic subgroups | number of subgroups | subgroup lattice | MATHEMATICS | ELEMENTS | SUBGROUP COMMUTATIVITY DEGREES | ABELIAN-GROUP | PROBABILITY | COMMUTE | Mathematics - Group Theory

cyclicity degree | poset of cyclic subgroups | number of subgroups | subgroup lattice | MATHEMATICS | ELEMENTS | SUBGROUP COMMUTATIVITY DEGREES | ABELIAN-GROUP | PROBABILITY | COMMUTE | Mathematics - Group Theory

Journal Article

Archiv der Mathematik, ISSN 0003-889X, 11/2013, Volume 101, Issue 5, pp. 437 - 443

A division ring D is said to be weakly locally finite if for every finite subset $${S \subset D}$$ S ⊂ D , the division subring of D generated by S is...

16K20 | Mathematics, general | Mathematics | Non-cyclic free subgroups | s Weakly locally finite | Weakly locally finite | MATHEMATICS | UNITS | MAXIMAL-SUBGROUPS

16K20 | Mathematics, general | Mathematics | Non-cyclic free subgroups | s Weakly locally finite | Weakly locally finite | MATHEMATICS | UNITS | MAXIMAL-SUBGROUPS

Journal Article

Communications in Algebra, ISSN 0092-7872, 11/2009, Volume 37, Issue 12, pp. 4296 - 4315

If the character table of a finite group H satisfies certain conditions, then the classes and characters of H can fuse to give the character table of a group G...

p-Group | Primary 20C15 | Abelian group | Camina pair | Character table | Secondary 20C99, 20D15 | Fusion | P-group | MATHEMATICS | SCHUR RINGS | CYCLIC GROUPS | Tables | Algebra | Fuses | Mathematical analysis | Subgroups

p-Group | Primary 20C15 | Abelian group | Camina pair | Character table | Secondary 20C99, 20D15 | Fusion | P-group | MATHEMATICS | SCHUR RINGS | CYCLIC GROUPS | Tables | Algebra | Fuses | Mathematical analysis | Subgroups

Journal Article

Journal of Algebraic Combinatorics, ISSN 0925-9899, 9/2015, Volume 42, Issue 2, pp. 635 - 670

Let $$q$$ q be an odd prime power and let $$X(m,q)$$ X ( m , q ) be the set of symmetric bilinear forms on an $$m$$ m -dimensional vector space over $$\mathbb...

Primary 05E30 | Symmetric bilinear form | Mathematics | Code | Association scheme | 94B15 | 15A63 | Secondary 11T71 | Convex and Discrete Geometry | Order, Lattices, Ordered Algebraic Structures | Group Theory and Generalizations | Combinatorics | Computer Science, general | Quadratic form | Weight enumerator | DISTRIBUTIONS | MATHEMATICS | SEQUENCES | ASSOCIATION SCHEMES | CYCLIC CODES | WEIGHT DISTRIBUTION | T-DESIGNS

Primary 05E30 | Symmetric bilinear form | Mathematics | Code | Association scheme | 94B15 | 15A63 | Secondary 11T71 | Convex and Discrete Geometry | Order, Lattices, Ordered Algebraic Structures | Group Theory and Generalizations | Combinatorics | Computer Science, general | Quadratic form | Weight enumerator | DISTRIBUTIONS | MATHEMATICS | SEQUENCES | ASSOCIATION SCHEMES | CYCLIC CODES | WEIGHT DISTRIBUTION | T-DESIGNS

Journal Article

Communications in Algebra, ISSN 0092-7872, 12/2015, Volume 43, Issue 12, pp. 5298 - 5327

A commutative Schur ring over a finite group G has dimension at most s G = d 1 + ... +d r , where the d i are the degrees of the irreducible characters of G....

05E30 | Group matrix | Finite group | Random walk | Special linear group | Metacyclic group | S-ring | 20C05 | Frobenius group | MATHEMATICS | DETERMINANT DETERMINES | REPRESENTATIONS | CYCLIC GROUPS | Algebra | Quotients | Mathematical analysis | Group theory | Determinants | Invariants | Rings (mathematics)

05E30 | Group matrix | Finite group | Random walk | Special linear group | Metacyclic group | S-ring | 20C05 | Frobenius group | MATHEMATICS | DETERMINANT DETERMINES | REPRESENTATIONS | CYCLIC GROUPS | Algebra | Quotients | Mathematical analysis | Group theory | Determinants | Invariants | Rings (mathematics)

Journal Article

1992, Grundlehren der mathematischen Wissenschaften, ISBN 9783540533399, Volume 301, xvi, 454

Book

Journal of Mathematical Physics, ISSN 0022-2488, 06/2000, Volume 41, Issue 6, pp. 3832 - 3866

We give a survey of selected topics in noncommutative geometry, with some emphasis on those directly related to physics, including our recent work with Dirk...

PERIODIC CYCLIC COHOMOLOGY | HOPF-ALGEBRAS | DIVERGENCES | AUTOMORPHISMS | C-STAR-ALGEBRAS | EXCISION | FORMULA | PHYSICS, MATHEMATICAL | HOMOLOGY | GRAVITY | RENORMALIZATION

PERIODIC CYCLIC COHOMOLOGY | HOPF-ALGEBRAS | DIVERGENCES | AUTOMORPHISMS | C-STAR-ALGEBRAS | EXCISION | FORMULA | PHYSICS, MATHEMATICAL | HOMOLOGY | GRAVITY | RENORMALIZATION

Journal Article

Sbornik: Mathematics, ISSN 1064-5616, 08/2002, Volume 193, Issue 7-8, pp. 1139 - 1149

We prove that, under certain additional assumptions, the endomorphism ring of the Jacobian of a curve y(l) = f (x) contains a maximal commutative subring...

MATHEMATICS | PROJECTIVE REPRESENTATIONS | CYCLIC COVERS | FIELD | LINE | HYPERELLIPTIC JACOBIANS | COMPLEX MULTIPLICATION

MATHEMATICS | PROJECTIVE REPRESENTATIONS | CYCLIC COVERS | FIELD | LINE | HYPERELLIPTIC JACOBIANS | COMPLEX MULTIPLICATION

Journal Article

Journal of Algebraic Combinatorics, ISSN 0925-9899, 12/2015, Volume 42, Issue 4, pp. 971 - 997

We study commutative Schur rings over the symmetric group $$S_n$$ S n that contain the sum of the transpositions in $$S_n$$ S n , by determining the...

05E30 | Schur ring | Complete graph | Mathematics | Gallai coloring | Convex and Discrete Geometry | Symmetric group | 20B30 | Order, Lattices, Ordered Algebraic Structures | Group Theory and Generalizations | Combinatorics | Computer Science, general | 20C05 | MATHEMATICS | CYCLIC GROUPS

05E30 | Schur ring | Complete graph | Mathematics | Gallai coloring | Convex and Discrete Geometry | Symmetric group | 20B30 | Order, Lattices, Ordered Algebraic Structures | Group Theory and Generalizations | Combinatorics | Computer Science, general | 20C05 | MATHEMATICS | CYCLIC GROUPS

Journal Article

Selecta Mathematica, ISSN 1022-1824, 1/2016, Volume 22, Issue 1, pp. 417 - 445

In this paper, we study the topology of the stack $$\mathcal {T}_g$$ T g of smooth trigonal curves of genus g over the complex field. We make use of a...

Secondary 14H30 | Trigonal curves | 14D23 | Mathematics | Monodromy maps | Primary 14H10 | 32G15 | Mapping class groups | Hurwitz spaces | Moduli stacks of curves | Braid groups | Teichmüller spaces | Mathematics, general | Orbifold fundamental group | MATHEMATICS, APPLIED | MONODROMY GROUPS | Teichmuller spaces | SINGULARITIES | CYCLIC COVERS | SYMMETRIC VANISHING LATTICES | 3-FOLD BRANCHED-COVERINGS | CHOW RING | STACKS | CURVES | MATHEMATICS | FUNDAMENTAL-GROUPS | SURFACES | Algebraic Geometry

Secondary 14H30 | Trigonal curves | 14D23 | Mathematics | Monodromy maps | Primary 14H10 | 32G15 | Mapping class groups | Hurwitz spaces | Moduli stacks of curves | Braid groups | Teichmüller spaces | Mathematics, general | Orbifold fundamental group | MATHEMATICS, APPLIED | MONODROMY GROUPS | Teichmuller spaces | SINGULARITIES | CYCLIC COVERS | SYMMETRIC VANISHING LATTICES | 3-FOLD BRANCHED-COVERINGS | CHOW RING | STACKS | CURVES | MATHEMATICS | FUNDAMENTAL-GROUPS | SURFACES | Algebraic Geometry

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 1/2013, Volume 317, Issue 2, pp. 425 - 445

In this article, we consider permutation orbifold models of C 2-cofinite vertex operator algebras of CFT type. We show the C 2-cofiniteness of the 2-cyclic...

Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | MODULAR INVARIANCE | CYCLIC PERMUTATIONS | PHYSICS, MATHEMATICAL | VERTEX OPERATOR-ALGEBRAS | RATIONALITY | CHARACTERS | Mathematics - Quantum Algebra

Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | MODULAR INVARIANCE | CYCLIC PERMUTATIONS | PHYSICS, MATHEMATICAL | VERTEX OPERATOR-ALGEBRAS | RATIONALITY | CHARACTERS | Mathematics - Quantum Algebra

Journal Article

Transactions of the American Mathematical Society, ISSN 0002-9947, 11/2012, Volume 364, Issue 11, pp. 5881 - 5911

The framed little 2-discs operad is homotopy equivalent to the Kimura-Stasheff-Voronov cyclic operad of moduli spaces of genus zero stable curves with tangent...

Morphisms | Circles | Tangents | Riemann surfaces | Algebra | Maps | Cardinality | Functors | Vertices | Framed little discs | Graph complex | Moduli of curves | Operad formality | Cyclic operad | MATHEMATICS | operad formality | FRAMED DISCS | graph complex | DEFORMATION QUANTIZATION | BATALIN-VILKOVISKY ALGEBRAS | framed little discs | moduli of curves

Morphisms | Circles | Tangents | Riemann surfaces | Algebra | Maps | Cardinality | Functors | Vertices | Framed little discs | Graph complex | Moduli of curves | Operad formality | Cyclic operad | MATHEMATICS | operad formality | FRAMED DISCS | graph complex | DEFORMATION QUANTIZATION | BATALIN-VILKOVISKY ALGEBRAS | framed little discs | moduli of curves

Journal Article

Designs, Codes and Cryptography, ISSN 0925-1022, 8/2016, Volume 80, Issue 2, pp. 217 - 239

Let $$B(X,Y)$$ B ( X , Y ) be a polynomial over $$\mathbb {F}_{q^n}$$ F q n which defines an $$\mathbb {F}_q$$ F q -bilinear form on the vector space $$\mathbb...

Information and Communication, Circuits | Finite field | 14H05 | Cyclic code | 12K10 | Semifield | Data Encryption | 12E20 | Mathematics | 94B15 | Data Structures, Cryptology and Information Theory | Discrete Mathematics in Computer Science | The Hasse–Weil–Serre bound | Coding and Information Theory | Combinatorics | 11T55 | Linearized polynomial | MATHEMATICS, APPLIED | ALGEBRAS | PLANES | The Hasse-Weil-Serre bound | FINITE-FIELD | COMPUTER SCIENCE, THEORY & METHODS | DIVISION | Military electronics industry | Mathematics - Combinatorics

Information and Communication, Circuits | Finite field | 14H05 | Cyclic code | 12K10 | Semifield | Data Encryption | 12E20 | Mathematics | 94B15 | Data Structures, Cryptology and Information Theory | Discrete Mathematics in Computer Science | The Hasse–Weil–Serre bound | Coding and Information Theory | Combinatorics | 11T55 | Linearized polynomial | MATHEMATICS, APPLIED | ALGEBRAS | PLANES | The Hasse-Weil-Serre bound | FINITE-FIELD | COMPUTER SCIENCE, THEORY & METHODS | DIVISION | Military electronics industry | Mathematics - Combinatorics

Journal Article

Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), ISSN 1815-0659, 05/2015, Volume 11

A natural isomorphism between the cyclic object computing the relative cyclic homology of a homogeneous quotient-coalgebra-Galois extension, and the cyclic...

Pontryagin duality | Cyclic homology | Takeuchi\u2013Galois correspondence | Homogenous quotient-coalgebra-Galois extensions | HOPF-ALGEBRAS | EXTENSIONS | COHOMOLOGY THEORY | DUALITY | homogenous quotient-coalgebra-Galois extensions | HOMOGENEOUS SPACES | BASS CONJECTURE | HOCHSCHILD | PHYSICS, MATHEMATICAL | Takeuchi-Galois correspondence | cyclic homology

Pontryagin duality | Cyclic homology | Takeuchi\u2013Galois correspondence | Homogenous quotient-coalgebra-Galois extensions | HOPF-ALGEBRAS | EXTENSIONS | COHOMOLOGY THEORY | DUALITY | homogenous quotient-coalgebra-Galois extensions | HOMOGENEOUS SPACES | BASS CONJECTURE | HOCHSCHILD | PHYSICS, MATHEMATICAL | Takeuchi-Galois correspondence | cyclic homology

Journal Article

Communications in Mathematical Physics, ISSN 0010-3616, 2/2008, Volume 277, Issue 3, pp. 643 - 706

We develop some of the ingredients needed for string theory on noncommutative spacetimes, proposing an axiomatic formulation of T-duality as well as...

Quantum Computing, Information and Physics | Relativity and Cosmology | Mathematical and Computational Physics | Quantum Physics | Physics | Statistical Physics | Complexity | LOCAL INDEX FORMULA | THOM ISOMORPHISM | HYPERBOLIC GROUPS | CHERN-CONNES CHARACTER | NOVIKOV-CONJECTURE | POINCARE-DUALITY | K-THEORY | C-STAR-ALGEBRAS | PHYSICS, MATHEMATICAL | T-DUALITY | CYCLIC HOMOLOGY THEORIES

Quantum Computing, Information and Physics | Relativity and Cosmology | Mathematical and Computational Physics | Quantum Physics | Physics | Statistical Physics | Complexity | LOCAL INDEX FORMULA | THOM ISOMORPHISM | HYPERBOLIC GROUPS | CHERN-CONNES CHARACTER | NOVIKOV-CONJECTURE | POINCARE-DUALITY | K-THEORY | C-STAR-ALGEBRAS | PHYSICS, MATHEMATICAL | T-DUALITY | CYCLIC HOMOLOGY THEORIES

Journal Article

1980, Lecture notes in mathematics, ISBN 0387102434, Volume 824, vi, 230

Book

Journal of Noncommutative Geometry, ISSN 1661-6952, 2015, Volume 9, Issue 3, pp. 965 - 998

We find the first non trivial "SAYD-twisted" cyclic cocycle over the groupoid action algebra under the symmetry of the affine linear transformations of the...

Cyclic cohomology | Weil algebra | Connes-Moscovici Hopf algebras | Characteristic classes of foliations | Hopf cyclic cohomology | MATHEMATICS, APPLIED | THEOREM | CUP PRODUCTS | PHYSICS, MATHEMATICAL | MATHEMATICS | characteristic classes of foliations | ALGEBRAS | cyclic cohomology | HOPF-CYCLIC COHOMOLOGY | HOMOLOGY

Cyclic cohomology | Weil algebra | Connes-Moscovici Hopf algebras | Characteristic classes of foliations | Hopf cyclic cohomology | MATHEMATICS, APPLIED | THEOREM | CUP PRODUCTS | PHYSICS, MATHEMATICAL | MATHEMATICS | characteristic classes of foliations | ALGEBRAS | cyclic cohomology | HOPF-CYCLIC COHOMOLOGY | HOMOLOGY

Journal Article

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