Results 91 to 100 of about 5,389,809 (116)

Schur indices and commutators in supersolvable groups

Journal of Group Theory, 2008
\textit{U. Riese} and \textit{P. Schmid}, [in J. Algebra 182, No. 1, 183-200 (1996; Zbl 0859.20006)], proved that if the finite group \(G\) is supersolvable, then \(m(\chi)\) divides \(|G/G'|\) for all irreducible characters \(\chi\) of \(G\), where \(m(\chi)\) denotes the Schur index of \(\chi\) over the rational numbers.
openaire   +2 more sources

Criterion for π-supersolvability for finite groups

Mathematical Notes, 1992
See the review in Zbl 0770.20015.
openaire   +1 more source

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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DFT-based Word Normalization in Finite Supersolvable Groups

Applicable Algebra in Engineering, Communication and Computing, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Meinard Müller, Michael Clausen
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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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A note on the supersolvable residual of a finite group

Journal of Algebra and Its Applications
In this paper, we investigate the supersolvable residual of a finite group. In particular, we not only simplify the proofs of some main theorems of Li and Wu [The formation residual of factorized finite groups, Acta Math. Hungar. 174(1)(2024) 202–208) and Yu [A note on a theorem of Baer, J.
Fuhai Zheng, Haoran Yu, Xiaowei Xu
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Finite Factorizable Groups with P\mathbb P-Subnormal v\mathrm v-Supersolvable and sh\mathrm{sh}-Supersolvable Factors

Mathematical Notes, 2022
V S Monakhov
exaly  

On the supersolvability of finite groups

Archiv der Mathematik, 1989
M. Asaad, A. Shaalan
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On the supersolvability of finite groups. I

Acta Mathematica Academiae Scientiarum Hungaricae, 1981
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