Quaestiones Mathematicae, ISSN 1607-3606, 11/2017, Volume 40, Issue 7, pp. 973 - 979

The order of subgroups with large relative commutativity degrees are determined. Also a relationship between the number of relative commutativity degrees of a...

Commutativity | chain of subgroups | Secondary 20D99 | relative commutativity degree | centralizer | Primary 20D30 | Frobenius group | MATHEMATICS | FINITE-GROUPS | COMMUTING PROBABILITY

Commutativity | chain of subgroups | Secondary 20D99 | relative commutativity degree | centralizer | Primary 20D30 | Frobenius group | MATHEMATICS | FINITE-GROUPS | COMMUTING PROBABILITY

Journal Article

Publicationes Mathematicae, ISSN 0033-3883, 2019, Volume 94, Issue 1-2, pp. 157 - 169

In this paper, we show that there is an infinite number of finite groups with two relative subgroup commutativity degrees. Also, we indicate a sufficient...

Subgroup lattice | And phrases: subgroup commutativity degree | Relative subgroup commutativity degree | MATHEMATICS | ELEMENTS | relative subgroup commutativity degree | subgroup commutativity degree | PROBABILITY | subgroup lattice

Subgroup lattice | And phrases: subgroup commutativity degree | Relative subgroup commutativity degree | MATHEMATICS | ELEMENTS | relative subgroup commutativity degree | subgroup commutativity degree | PROBABILITY | subgroup lattice

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

Rendiconti del Circolo Matematico di Palermo (1952 -), ISSN 0009-725X, 8/2015, Volume 64, Issue 2, pp. 229 - 239

The relative commutativity degree of a subgroup $$H$$ H of a finite group $$G$$ G , denoted by $$\Pr (H, G)$$ Pr ( H , G ) , is the probability that an element...

Geometry | 20P05 | Algebra | Conjugacy class size | Isoclinic pairs of groups | Relative commutativity degree | Analysis | 20D60 | Mathematics, general | Mathematics | Applications of Mathematics

Geometry | 20P05 | Algebra | Conjugacy class size | Isoclinic pairs of groups | Relative commutativity degree | Analysis | 20D60 | Mathematics, general | Mathematics | Applications of Mathematics

Journal Article

ALGEBRA COLLOQUIUM, ISSN 1005-3867, 09/2015, Volume 22, Issue 3, pp. 449 - 458

It is shown that a finite group G has four relative commutativity degrees if and only if G/Z(G) is a p-group of order p(3) and G has no abelian maximal...

MATHEMATICS | commutativity degree | finite group | ELEMENTS | MATHEMATICS, APPLIED | PROBABILITY | relative commutativity degree

MATHEMATICS | commutativity degree | finite group | ELEMENTS | MATHEMATICS, APPLIED | PROBABILITY | relative commutativity degree

Journal Article

Bulletin of the Iranian Mathematical Society, ISSN 1018-6301, 05/2013, Volume 39, Issue 2, pp. 271 - 280

Journal Article

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, ISSN 1735-8515, 05/2013, Volume 39, Issue 2, pp. 271 - 280

For a finite group G and a subgroup H of G, the relative commutativity degree of H in G, denoted by d(H, G), is the probability that an element of H commutes...

MATHEMATICS | relative isoclinism | Commutativity degree | relative commutativity degree | isoclinism

MATHEMATICS | relative isoclinism | Commutativity degree | relative commutativity degree | isoclinism

Journal Article

AIP Conference Proceedings, ISSN 0094-243X, 2013, Volume 1522, Issue 1, pp. 838 - 843

The commutativity degree of a finite group G was introduced by Erdos and Turan for symmetric groups, finite groups and finite rings in 1968. The commutativity...

Relative commutativity degree | Commutativity degree | Dihedral group | Mathematical analysis | Subgroups | Group theory | Rings (mathematics)

Relative commutativity degree | Commutativity degree | Dihedral group | Mathematical analysis | Subgroups | Group theory | Rings (mathematics)

Conference Proceeding

JOURNAL OF ALGEBRA, ISSN 0021-8693, 07/2011, Volume 337, Issue 1, pp. 363 - 368

We indicate a natural generalization of the concept of subgroup commutativity degree of a finite group and a list of open problems on these new concepts. (C)...

MATHEMATICS | Subgroup commutativity degree | Subgroup lattice | Relative subgroup commutativity degree

MATHEMATICS | Subgroup commutativity degree | Subgroup lattice | Relative subgroup commutativity degree

Journal Article

Asian-European Journal of Mathematics, ISSN 1793-5571, 2014, Volume 7, Issue 1

Journal Article

AIP Conference Proceedings, ISSN 0094-243X, 06/2018, Volume 1974, Issue 1

Let G be a finite group. The probability that any two elements, chosen randomly from a group G, commute is called the commutativity degree of G. The concept of...

Finite group | Subset relative degree | Relative commutativity degree | Commutativity degree | Subgroups

Finite group | Subset relative degree | Relative commutativity degree | Commutativity degree | Subgroups

Journal Article

Journal of Algebra, ISSN 0021-8693, 2011, Volume 337, Issue 1, pp. 363 - 368

We indicate a natural generalization of the concept of subgroup commutativity degree of a finite group and a list of open problems on these new concepts.

Subgroup lattice | Subgroup commutativity degree | Relative subgroup commutativity degree

Subgroup lattice | Subgroup commutativity degree | Relative subgroup commutativity degree

Journal Article

Indagationes Mathematicae, ISSN 0019-3577, 04/2017, Volume 28, Issue 2, pp. 612 - 614

We clarify Theorems 5.1 and 5.4 of our paper “Probabilistic properties of the relative tensor degree of finite groups”, published in Indagationes Mathematicae...

Commutativity degree | Relative tensor degree | Exterior degree

Commutativity degree | Relative tensor degree | Exterior degree

Journal Article

Indagationes Mathematicae, ISSN 0019-3577, 04/2017, Volume 28, Issue 2, pp. 612 - 614

We clarify Theorems 5.1 and 5.4 of our paper “Probabilistic properties of the relative tensor degree of finite groups”, published in Indagationes Mathematicae...

Relative tensor degree | Exterior degree | Commutativity degree

Relative tensor degree | Exterior degree | Commutativity degree

Journal Article

Indagationes Mathematicae, ISSN 0019-3577, 01/2016, Volume 27, Issue 1, pp. 147 - 159

Denoting by H⊗K the nonabelian tensor product of two subgroups H and K of a finite group G, we investigate the relative tensor degree...

Relative tensor degree | Exterior degree | Commutativity degree | MATHEMATICS | COMMUTATIVITY DEGREES | SUBGROUP

Relative tensor degree | Exterior degree | Commutativity degree | MATHEMATICS | COMMUTATIVITY DEGREES | SUBGROUP

Journal Article

INDAGATIONES MATHEMATICAE-NEW SERIES, ISSN 0019-3577, 04/2017, Volume 28, Issue 2, pp. 612 - 614

We clarify Theorems 5.1 and 5.4 of our paper "Probabilistic properties of the relative tensor degree of finite groups", published in Indagationes Mathematicae...

MATHEMATICS | Commutativity degree | Relative tensor degree | Exterior degree

MATHEMATICS | Commutativity degree | Relative tensor degree | Exterior degree

Journal Article

Filomat, ISSN 0354-5180, 1/2014, Volume 28, Issue 9, pp. 1929 - 1933

The present paper is a note on the relative tensor degree of finite groups. This notion generalizes the tensor degree, introduced recently in literature, and...

Tensors | Relative commutativity degree | Relative tensor degree | Exterior degree | MATHEMATICS | MATHEMATICS, APPLIED | PROBABILITY | COMMUTATIVITY DEGREES | PRODUCTS | 2 GROUP ELEMENTS | relative commutativity degree | exterior degree

Tensors | Relative commutativity degree | Relative tensor degree | Exterior degree | MATHEMATICS | MATHEMATICS, APPLIED | PROBABILITY | COMMUTATIVITY DEGREES | PRODUCTS | 2 GROUP ELEMENTS | relative commutativity degree | exterior degree

Journal Article

Filomat, ISSN 0354-5180, 2013, Volume 27, Issue 2, pp. 365 - 369

We correlate the notion of n-isoclinism of finite groups, introduced by J. C. Bioch in 1976, with the relative n-th nilpotency degree, recently studied in...

Relativen-isoclinism | N-th nilpotency degree | Relative commutativity degree | Commutativity degree | MATHEMATICS | MATHEMATICS, APPLIED | PROBABILITY | relativen-isoclinism | 2 GROUP ELEMENTS | relative commutativity degree | n-th nilpotency degree | Mathematics - Group Theory

Relativen-isoclinism | N-th nilpotency degree | Relative commutativity degree | Commutativity degree | MATHEMATICS | MATHEMATICS, APPLIED | PROBABILITY | relativen-isoclinism | 2 GROUP ELEMENTS | relative commutativity degree | n-th nilpotency degree | Mathematics - Group Theory

Journal Article

Indagationes Mathematicae, ISSN 0019-3577, 04/2017, Volume 28, Issue 2, pp. 372 - 382

The commuting probability of a finite ring R, denoted by Pr(R), is the probability that any two randomly chosen elements of R commute. In this paper, we obtain...

Finite ring | Isoclinism of rings | Commuting probability | MATHEMATICS | RELATIVE COMMUTATIVITY DEGREE

Finite ring | Isoclinism of rings | Commuting probability | MATHEMATICS | RELATIVE COMMUTATIVITY DEGREE

Journal Article

Mediterranean Journal of Mathematics, ISSN 1660-5446, 8/2013, Volume 10, Issue 3, pp. 1195 - 1206

The exterior degree of a pair of finite groups (G, N), which is a generalization of the exterior degree of finite groups, is the probability for two elements...

commutativity degree | Primary 20F99 | Schur multiplier | Secondary 20P05 | Mathematics, general | Mathematics | Exterior degree | capability of groups | pair of groups | MATHEMATICS | MATHEMATICS, APPLIED | PROBABILITY | RELATIVE COMMUTATIVITY DEGREE | Computer science | Mathematics - Group Theory

commutativity degree | Primary 20F99 | Schur multiplier | Secondary 20P05 | Mathematics, general | Mathematics | Exterior degree | capability of groups | pair of groups | MATHEMATICS | MATHEMATICS, APPLIED | PROBABILITY | RELATIVE COMMUTATIVITY DEGREE | Computer science | Mathematics - Group Theory

Journal Article

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