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Class-preserving Coleman automorphisms of some classes of finite groups
Published 2022-11-01“…Class-preserving Coleman automorphisms of finite groups occur naturally in the study of the normalizer problem. …”
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FREE FINITE GROUP ACTIONS ON RATIONAL HOMOLOGY 3-SPHERES
Published 2019-01-01“…We use methods from the cohomology of groups to describe the finite groups which can act freely and homologically trivially on closed 3-manifolds which are rational homology spheres.…”
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Separation of Variables and the Computation of Fourier Transforms on Finite Groups, II
Published 2020-04-01“…Ourmethods give improved upper bounds for computing the Fourier transform for the general linear groups over finitefields, the classical Weyl groups, and homogeneous spaces of finite groups.…”
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Words and polynomial invariants of finite groups in non-commutative variables
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Cherednik and Hecke Algebras of Varieties with a Finite Group Action
Published 2019“…Let G be a finite group of linear transformations of a finite dimensional complex vector space V. …”
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126
Solving xz=y^2 in certain subsets of finite groups
Published 2017“…Suppose that G is a finite group and A € G has no non-trivial solutions to xz = y2. …”
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Generators and commutators in finite groups; abstract quotients of compact groups
Published 2012“…The first part of the paper establishes results about products of commutators in a d-generator finite group G, for example: if H {contains as normal subgroup} G = 〈g 1,.g r〉 then every element of the subgroup [H, G] is a product of f(r) factors of the form [h 1,g 1][h 1′,g 1-1].…”
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Generators and commutators in finite groups; abstract quotients of compact groups
Published 2011“…Let N be a normal subgroup of a finite group G. We prove that under certain (unavoidable) conditions the subgroup [N,G] is a product of commutators [N,y] (with prescribed values of y from a given set Y) of length bounded by a function of d(G) and |Y| only. …”
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Some considerations on the n-th commutativity degrees of finite groups
Published 2015“…Let G be a finite group and n a positive integer. The n-th commutativity degree P-n(G) of G is the probability that the n-th power of a random element of G commutes with another random element of G. …”
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The topological indices of non-commuting graph of a finite group
Published 2015“…Assume G is a non-abelian finite group. The non-commuting graph GG of G is defined as a graph with vertex set G - Z(G) in which Z(G) is the center of G and two distinct vertices x and y are joined if and only if xy ? …”
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Generalized commutativity degrees of some finite groups and their related graphs
Published 2017“…The commutativity degree of a finite group G is the probability that two randomly chosen elements of the group G commute and is denoted as P(G). …”
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The Laplacian energy of conjugacy class graph of some finite groups
Published 2019Get full text
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The independence and clique polynomials of the center graphs of some finite groups
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