Results 11 to 20 of about 5,389,809 (116)
List decoding group homomorphisms between supersolvable groups [PDF]
CoRR, 2014 11 ...
Guo, Alan, Sudan, Madhu
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Gallery Posets of Supersolvable Arrangements [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We introduce a poset structure on the reduced galleries in a supersolvable arrangement of hyperplanes. In particular, for Coxeter groups of type A or B, we construct a poset of reduced words for the longest element whose Hasse diagram is the graph of ...
Thomas McConville
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Some results on π‐solvable and supersolvable groups [PDF]
International Journal of Mathematics and Mathematical Sciences, 1993 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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Groups with supersolvable automorphism group [PDF]
We call a finite group G ultrasolvable if it has a characteristic subgroup series whose factors are cyclic. It was shown by Durbin--McDonald that the automorphism group of an ultrasolvable group is supersolvable. The converse statement was established by Baartmans--Woeppel under the hypothesis that G has no direct factor isomorphic to the Klein four ...
Sambale, Benjamin
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On a pseudovariety of finite supersolvable groups [PDF]
International Journal of Algebra and ComputationWe introduce the pseudovariety of finite groups [Formula: see text], where [Formula: see text] is the set of all primes. We show that [Formula: see text] consists of all finite supersolvable groups with elementary abelian derived subgroup and abelian Sylow subgroups, and so [Formula: see text] has decidable membership problem.
Claude Marion +2 more
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Two Generator Subalgebras Of Lie Algebras. [PDF]
, 2007 In [14] Thompson showed that a finite group G is solvable if and only if every twogenerated subgroup is solvable (Corollary 2, p. 388). Recently, Grunevald et al.
Bowman, Kevin +2 more
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On Quasi S‐Propermutable Subgroups of Finite Groups
Journal of Mathematics, Volume 2020, Issue 1, 2020., 2020 A subgroup H of a finite group G is said to be quasi S‐propermutable in G if K⊲¯G such that HK is S‐permutable in G and H ∩ K ≤ HqsG, where HqsG is the subgroup formed by all those subgroups of H which are S‐propermutable in G. In this paper, we give some generalizations of finite group G by using the properties and effects of quasi S‐propermutable ...
Hong Yang +6 more
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On the commuting probability and supersolvability of finite groups [PDF]
Monatshefte für Mathematik, 2013 For a finite group $G$, let $d(G)$ denote the probability that a randomly chosen pair of elements of $G$ commute. We prove that if $d(G)>1/s$ for some integer $s>1$ and $G$ splits over an abelian normal nontrivial subgroup $N$, then $G$ has a nontrivial conjugacy class inside $N$ of size at most $s-1$. We also extend two results of Barry, MacHale,
Lescot, Paul +2 more
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A Note on Finite Groups with Given CSS-subgroups [PDF]
Advances in Group Theory and ApplicationsFor a finite group G, a subgroup H of G is called a CSS-subgroup of G if G possesses a normal subgroup K such that G = HK and H ∩ K is an SS-quasinormal subgroup in G.
Abdelrahman Abdelhamid Heliel +2 more
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Glasgow Mathematical Journal, 1988 A compact bordered Klein surface of genus g ≥ 2 has maximal symmetry [4] if its automorphism group is of order 12(g − 1), the largest possible. An M*-group [8] acts on a bordered surface with maximal symmetry. The first important result about these groups was that they must have a certain partial presentation [8, p. 5].
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