Results 121 to 130 of about 3,182 (219)

Derived length and products of conjugacy classes [PDF]

Israel Journal of Mathematics, 2008
Let $G$ be a supersolvable group and $A$ be a conjugacy class of $G$. Observe that for some integer $η(AA^{-1})>0$, $AA^{-1}=\{a b^{-1}\mid a,b\in A\}$ is the union of $η(AA^{-1})$ distinct conjugacy classes of $G$. Set ${\bf C}_G(A)=\{g\in G\mid a^g=a\text{for all} a\in A\}$. Then the derived length of $G/{\bf C}_G(A)$ is less or equal than $2η(A A^
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Group Extensions with Infinite Conjugacy Classes [PDF]

Confluentes Mathematici, 2017
We characterize the group property of being with infinite conjugacy classes (or icc , i.e. infinite and of which all conjugacy classes except { 1
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On conjugacy classes of SL$(2,q)$

, 2009
11 pages.
ADAN-BANTE, EDITH, HARRIS, JOHN M.
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Spherical conjugacy classes and the Bruhat decomposition [PDF]

Annales de l'Institut Fourier, 2009
Let G be a connected, reductive algebraic group over an algebraically closed field of zero or good and odd characteristic. We characterize spherical conjugacy classes in G
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On conjugacy classes of the homomorphic images of a certain Bianchi group

Kuwait Journal of Science, 2017
In this paper, we classify the conjugacy classes of the action of PSL₂(O₂) on the projective line over finite fields, PL(F_{p}), where p is the M-S prime, by using the method of parametrization and investigate the behavoior of coset diagrams of these ...
Umar Shoaib
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On ∼n Notion of Conjugacy in Some Classes of Epigroups

Journal of Mathematics
The action of any group on itself by conjugation and the corresponding conjugacy relation plays an important role in group theory. Generalizing the group theoretic notion of conjugacy to semigroups is one of the interesting problems, and semigroup ...
Aftab Hussain Shah, Amal S. Alali, Mohd Rafiq Parray   +2 more
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Maple Encoding of Optimal Systems for Solvable Lie Algebras

Mathematics
This paper presents a Maple code for the systematic computation of optimal systems of solvable Lie algebras, built on an ideal based algorithmic framework.
Nimra Sher Asghar, Hassan Azad, Tooba Feroze   +2 more
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Non-nilpotent groups with three conjugacy class of non-normal subgroups [PDF]

International Journal of Group Theory, 2014
For a finite group $G$ let $nu(G)$ denote the number of conjugacy classes of non-normal subgroups of $G$. The aim of this paper is to classify all the non-nilpotent groups with $nu(G)=3$.
Hamid Mousavi
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Conjugacy classes of some classical linear groups [PDF]

, 2018
Cilj magistrskega dela je preučiti razrede konjugiranih elementov v nekaterih klasičnih linearnih grupah. V uvodnem poglavju magistrske naloge najprej predstavimo nekaj osnovnih pojmov in definicij iz teorije grup, ki so potrebni za razumevanje ...
Stojko, Danijela
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𝑞-Conjugacy classes in loop groups [PDF]

Proceedings of the American Mathematical Society, 2012
This paper discusses the twisted conjugacy classes in loop groups. We restrict to classical groups and give some explicit classifications.
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