Results 41 to 50 of about 63 (61)

The supersolvability of QCLT groups

Acta Mathematica Sinica, 1985
Only finite groups are considered. A group is said to be CLT if every divisor of its order is the order of some subgroup. A group all of whose homomorphic images are CLT is said to be QCLT. Any supersolvable group is QCLT but the converse is false. \textit{J. F. Humphreys} [Proc. Camb. Philos. Soc.
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Locally supersolvable extensions of Abelian groups

Ukrainian Mathematical Journal, 1990
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Zaĭtsev, D. I., Maznichenko, V. A.
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Criterion for ?-supersolvability for finite groups

Mathematical Notes, 1992
See the review in Zbl 0770.20015.
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s-Permutably embedded subgroups and p-supersolvable groups

Science China Mathematics, 2013
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Qiao, Shouhong, Wang, Yanming
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On the supersolvable residual of an M-group

Journal of Algebra and Its Applications, 2018
Using the technique of linear limits of characters due to Dade and Loukaki, we give some conditions on the supersolvable residual of a finite solvable group [Formula: see text] that is sufficient to guarantee that [Formula: see text] is an [Formula: see text]-group. The monomiality of normal subgroups and Hall subgroups of the group [Formula: see text]
Zheng, Huijuan, Jin, Ping
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Finite Factorizable Groups with $$\mathbb P$$-Subnormal $$\mathrm v$$-Supersolvable and $$\mathrm{sh}$$-Supersolvable Factors

Mathematical Notes, 2022
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The supersolvable residual of an -group

Mathematical Proceedings of the Cambridge Philosophical Society, 1976
Let be the class of groups possessing a subgroup of index n for each divisor n of the group order. McLain (7) initiated the formal investigation of and observed that every solvable group is a direct factor of an -group. However, subclasses of provide some interesting problems.
Ben Brewster, Malcolm Ottaway
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Finite Minimal Non-supersolvable Groups Decomposable into the Product of Two Normal Supersolvable Subgroups

Communications in Mathematics and Statistics, 2015
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Guo, Wenbin, Kondrat'ev, A. S.
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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.
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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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