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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
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
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
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
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
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
Journal Article
Journal of Algebraic Combinatorics, ISSN 0925-9899, 9/2015, Volume 42, Issue 2, pp. 635 - 670
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)
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
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
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
Journal Article
Selecta Mathematica, ISSN 1022-1824, 1/2016, Volume 22, Issue 1, pp. 417 - 445
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 1/2013, Volume 317, Issue 2, pp. 425 - 445
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
Journal Article
Journal Article
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), ISSN 1815-0659, 05/2015, Volume 11
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 2/2008, Volume 277, Issue 3, pp. 643 - 706
Journal Article
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
Journal Article
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