Results 101 to 110 of about 3,179 (217)

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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Conjugacy Classes in Algebraic Monoids II

, 1994
Let M be a connected linear algebraic monoid with zero and a reductive unit group. We show that there exist reductive groups G1,..., Gt, each with an automorphism, such that the conjugacy classes of M are in a natural bijective correspondence with the ...
Mohan S. Putcha
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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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Complexity of conjugacy classes of A(Q)

, 2003
We find some necessary conditions for separation of conjugacy classes by Gδ-sets in A(Q), the group of order preserving permutations of Q. A description of Gδ-conjugacy classes of this group is obtained.
Majcher-Iwanow, B.
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Conjugacy classes of autohomeomorphisms of N*

, 2022
We present some problems related to the conjugacy classes of aut(N*
van Mill, J., Hart, K.P.
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Counting conjugacy classes and automorphism-conjugacy classes of ZM-groups

Asian-European Journal of Mathematics
In this paper, we count the number of conjugacy and automorphism-conjugacy classes of elements of a ZM-group. The size of a conjugacy class with respect to these two equivalence relations is also counted.
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A note on maximal length elements in conjugacy classes of finite coxeter groups

, 2010
The maximal lengths of elements in each of the conjugacy classes of Coxeter groups of types $B_n$, $D_n$ and $E_6$ are determined.
Rowley, P.J., Hart, Sarah, Hart, Sarah B.   +2 more
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Conjugacy classes and growth conditions

Journal of Algebra, 2003
Let \(G\) be a finitely generated group and \(E\) a finite generating system. If \(g\in G\) let \(l_E(g)\) be the minimal length of an expression of \(g\) as a product of elements of \(E\), and let \(f_E(n)\) be the number of elements \(g\) of \(G\) for which \(l_E(G)\leq n\).
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Conjugacy classes and finite p-groups [PDF]

Archiv der Mathematik, 2005
Let $G$ be a finite $p$-group, where $p$ is a prime number, and $a\in G$. Denote by $\Cl(a)=\{gag^{-1}\mid g\in G\}$ the conjugacy class of $a$ in $G$. Assume that $|\Cl(a)|=p^n$. Then $\Cl(a)\Cl(a^{-1})=\{xy\mid x\in \Cl(a), y\in \Cl(a^{-1})\}$ is the union of at least $n(p-1)+1$ distinct conjugacy classes of $G$.
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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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