Results 51 to 60 of about 3,182 (219)
The Conjugacy Classes of 3x3 and 4x4 Matrices Over GF(2). [PDF]
, 2013 The general linear groups over GF(2) have an intricate and interesting structure. This report does some preliminary work in examining the structure of two of these groups by giving the conjugacy classes of 3x3 and 4x4 matrices over GF(2)
Maurer, Peter M.
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Graf Konjugasi dari Hasil Kali Langsung Grup Alternating A4 dan Grup Simetri S3
Jambura Journal of MathematicsThis study investigates the structure of conjugacy graphs formed from the conjugacy classes in the alternating group A4, the symmetric group S3, and their direct product A4 × S3.
Muhammad Fikri Muammar +2 more
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Groups with reality and conjugacy conditions [PDF]
International Journal of Group Theory, 2012 Many results were proved on the structure of finite groups with some restrictions on their real elements and on their conjugacy classes. We generalize a few of these to some classes of infinite groups.
Patrizia Longobardi +2 more
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On finite groups with square-free conjugacy class sizes [PDF]
International Journal of Group Theory, 2018 We report on finite groups having square-free conjugacy class sizes, in particular in the framework of factorised groups.
Maria-Jose Felipe +2 more
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Mixed and Non-mixed Normal Subgroups of Dihedral Groups Using Conjugacy classes
Ratio Mathematica, 2021 In this paper, we characterize and compute the mixed and non-mixed basis of Dihedral groups. Also, by computing the conjugacy classes, we describe all the mixed and non-mixed normal subgroups of Dihedral Groups.
S. Vinod, G.S. Biju
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Conjugacy Class Sizes in Affine Semi-linear Groups [PDF]
Advances in Group Theory and Applications, 2020 The aim of this work is to study the structure and sizes of conjugacy classes in certain affine semi-linear groups. This provides a wealth of finite groups of small conjugate rank that are solvable and non-nilpotent.
Hossein Shahrtash
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Bulletin of the London Mathematical Society, 2005 Summary: This paper proves the rationality of Poincaré series whose coefficients are defined using the number of conjugacy classes in a system of finite groups defined as finite images of linear groups over \(\mathbb{Z}_p\) modulo natural congruence subgroups.
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TWISTED CONJUGACY CLASSES IN WREATH PRODUCTS [PDF]
International Journal of Algebra and Computation, 2006 Let G be a finitely generated abelian group and G ≀ ℤ be the wreath product. In this paper, we classify all such groups G for which every automorphism of G ≀ ℤ has infinitely many twisted conjugacy classes.
Daciberg Gonçalves, Peter Wong
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Commuting Conjugacy Class Graph of The Finite $2-$Groups $G_n(m)$ and $G[n]$ [PDF]
Journal of Mahani Mathematical ResearchSuppose $G$ is a finite non-abelian group and $\Gamma(G)$ is a graph with non-central conjugacy classes of $G$ as its vertex set. Two vertices $L$ and $K$ in $\Gamma(G)$ are adjacent if there are $a \in L$ and $b \in K$ such that $ab = ba$.
Mohammad Ali Salahshour +1 more
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ON CONJUGACY CLASSES OF CLOSED SUBGROUPS
Demonstratio Mathematica, 1986 The note is devoted to proving the following result: if G is a compact Lie group then the set of conjugacy classes of its closed subgroups is countable. The proof given uses purely topological methods and is based on classical facts concerning actions of compact Lie groups including Mostow-Palais theorem on equivariant imbeddings of actions of a ...
Kondracki, Witold, Rogulski, Jan
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