Results 81 to 90 of about 737 (186)

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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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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Solving Large-Scale Unconstrained Optimization Problems with an Efficient Conjugate Gradient Class

Journal of Mathematics
The main goal of this paper is to introduce an appropriate conjugate gradient class to solve unconstrained optimization problems. The presented class enjoys the benefits of having three free parameters, its directions are descent, and it can fulfill the ...
Sanaz Bojari, Mahmoud Paripour
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On conjugacy classes of SL$(2,q)$

, 2009
11 pages.
ADAN-BANTE, EDITH, HARRIS, JOHN M.
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Structure of group invariants of a quasiperiodic flow

Electronic Journal of Differential Equations, 2004
It is shown that the multiplier representation of the generalized symmetry group of a quasiperiodic flow induces a semidirect product structure on certain group invariants (including the generalized symmetry group) of the flow's smooth conjugacy class.
Lennard F. Bakker
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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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Sum of Element Orders of Finite Linear Groups of Degree Two [PDF]

Advances in Group Theory and Applications
Let G be a finite group of order n and ψ(G) = sum_{g in G} o(g), the sum of its element orders. In this paper, we present a computational method to find the ψ value of finite groups and provide explicit formulas for the sum of element orders of finite ...
Seiyede Nazanin Banisadr, Hasan Refaghat, Yadollah Marefat, Bahram Vakili   +3 more
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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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Generation by Conjugate Elements of Finite Almost Simple Groups With a Sporadic Socle

Известия Иркутского государственного университета: Серия "Математика"
We study the minimum number of elements in the conjugacy class of an automorphism of a sporadic simple group that generate a subgroup containing all inner automorphisms.
D. O. Revin, A. V. Zavarnitsine
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