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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
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
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
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
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
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
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)
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
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
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
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
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
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
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
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
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
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
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
Journal Article
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