Results 41 to 50 of about 16,107,577 (322)
Solvable graphs of finite groups
Hacettepe Journal of Mathematics and Statistics, 2020 Let $G$ be a finite non-solvable group with solvable radical $Sol(G)$ . The solvable graph $\Gamma_s(G)$ of $G$ is a graph with vertex set $G\setminus Sol(G)$ and two distinct vertices $u$ and $v$ are adjacent if and only if $\langle u, v \rangle$ is ...
Parthajit Bhowal +2 more
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Refined solvable presentations for polycyclic groups [PDF]
International Journal of Group Theory, 2012 We describe a new type of presentation that, when consistent, describes a polycyclic group. This presentation is obtained by re ning a series of normal subgroups with abelian sections.
René Hartung, Gunnar Traustason
doaj
$C^*$-dynamical systems of solvable Lie groups
, 2017 In this paper we develop a groupoid approach to some basic topological properties of dual spaces of solvable Lie groups using suitable dynamical systems related to the coadjoint action.
Beltita, Daniel, Beltita, Ingrid
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On homogeneous spaces with finite anti-solvable stabilizers
Comptes Rendus. Mathématique, 2022 We say that a group is anti-solvable if all of its composition factors are non-abelian. We consider a particular family of anti-solvable finite groups containing the simple alternating groups for $n\ne 6$ and all 26 sporadic simple groups. We prove that,
Lucchini Arteche, Giancarlo
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Palindromic Width of Finitely Generated Solvable Groups [PDF]
, 2014 We investigate the palindromic width of finitely generated solvable groups. We prove that every finitely generated 3-step solvable group has finite palindromic width.
V. Bardakov, Krishnendu Gongopadhyay
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Palindromic width of wreath products, metabelian groups, and max-n solvable groups [PDF]
Groups Complex. Cryptol., 2013 A group has finite palindromic width if there exists n such that every element can be expressed as a product of n or fewer palindromic words. We show that if G has finite palindromic width with respect to some generating set, then so does G≀ℤ r $G \wr ...
T. Riley, Andrew W. Sale
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Some results on π-solvable and supersolvable groups
International Journal of Mathematics and Mathematical Sciences, 1994 For a finite group G, ϕp(G), Sp(G), L(G) and S𝒫(G) are generalizations of the Frattini subgroup of G. We obtain some results on π-solvable, p-solvable and supersolvable groups with the help of the structures of these subgroups.
T. K. Dutta, A. Bhattacharyya
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The n-ary adding machine and solvable groups [PDF]
International Journal of Group Theory, 2013 We describe under a various conditions abelian subgroups of the automorphism group $Aut(T_n)$ of the regular $n$-ary tree $T_n$, which are normalized by the $n$-ary adding machine $tau=(e,dots, e,tau)sigma_tau$ where $sigma_tau$ is the $n$-cycle $(0, 1 ...
Josimar Da Silva Rocha, Said Sidki
doaj
Nonarchimedean superrigidity of solvable S-arithmetic groups
, 2014 Let Gamma be an S-arithmetic subgroup of a solvable algebraic group G over an algebraic number field F, such that the finite set S contains at least one place that is nonarchimedean.
Morris, Dave Witte, Studenmund, Daniel
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The Farrell–Jones conjecture for virtually solvable groups [PDF]
, 2013 We prove the K ‐ and L ‐theoretic Farrell–Jones conjecture (with coefficients in additive categories) for virtually solvable groups.
Christian Wegner
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