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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2012, Issue 3(12), Pages 74–77
(Mi pfmt52)
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MATHEMATICS
Finite groups with given systems of quasipermutable subgroups
V. A. Kovaleva, Zh. Xiaoyu
F. Scorina Gomel State University, Gomel
Abstract:
Let $G$ be a finite group. A subgroup $A$ of $G$ is said to be quasipermutable in $G$ if A either covers or avoids every maximal pair $(K,H)$ of $G$. We study the finite groups with given systems of quasipermutable subgroups.
Keywords:
finite group, maximal pair, (weakly) quasipermutable subgroup, generalized Fitting subgroup, $p$-nilpotent group, $\mathcal{U}$-hypercentre.
Received: 17.05.2012
Citation:
V. A. Kovaleva, Zh. Xiaoyu, “Finite groups with given systems of quasipermutable subgroups”, PFMT, 2012, no. 3(12), 74–77
Linking options:
https://www.mathnet.ru/eng/pfmt52 https://www.mathnet.ru/eng/pfmt/y2012/i3/p74
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