Results 101 to 110 of about 234 (126)

A Frobenius-type theorem for supersolvable groups

Publicationes Mathematicae Debrecen, 1996
Let \(p\) be a prime. A group \(G\) is said to be strictly \(p\)-closed whenever \(G_p\), a Sylow \(p\)-subgroup of \(G\) is normal in \(G\) with \(G/G_p\) Abelian of exponent dividing \(p-1\). The main results of this paper are the following theorems: Theorem 1. Let \(G\) be a \(p\)-solvable group and \(N\) a normal subgroup of \(G\) such that \(G/N\)
Wang, Caiyun, Guo, Xiuyun
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On a pseudovariety of finite supersolvable groups

International Journal of Algebra and Computation
We 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, Pedro V. Silva, Gareth Tracey   +2 more
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A Condition for the Supersolvability of Finite Groups

Communications in Algebra, 2010
Let G be a finite group and H, K two nontrivial subgroups of G. We say that G is a mutually m-permutable product of H and K if G = HK and every maximal subgroup of H permutes with K and every maximal subgroup of K permutes with H. We prove the following result: Let G = G 1 G 2…G r be a finite group such that G 1, G 2,…G r are pairwise permutable ...
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Supersolvable Q-Groups

2012
One important problem in Q-gruops theory is to classify particular dasses of Q-groups.
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Finite Factorizable Groups with $$\mathbb P$$-Subnormal $$\mathrm v$$-Supersolvable and $$\mathrm{sh}$$-Supersolvable Factors

Mathematical Notes, 2022
Monakhov V S
exaly  

On the supersolvability of finite groups

Archiv der Mathematik, 1989
M. Asaad, A. Shaalan
openaire   +1 more source

On the Finite Group Which Is a Product of Two Subnormal Supersolvable Subgroups

Mathematics, 2022
Yubo Lv, Xiangyang Xu, Li Yangming
exaly  

On the supersolvability of finite groups. I

Acta Mathematica Academiae Scientiarum Hungaricae, 1981
openaire   +3 more sources

Abelian subalgebras and ideals of maximal dimension in supersolvable and nilpotent lie algebras

Linear and Multilinear Algebra, 2022
David A Towers
exaly  

The Supersolvable Residual of a Finite Group Factorized by Pairwise Permutable Seminormal Subgroups

Algebra and Logic, 2021
A A Trofimuk
exaly