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This article is cited in 1 scientific paper (total in 1 paper)
On the Solvability of a Group with Commuting Subgroups
V. S. Monakhov Francisk Skorina Gomel State University
Abstract:
The solvability of a finite group $G=AB$ is established under the assumption that the subgroups $A$ and $B$ are solvable and the Carter subgroups of $A$ commute with the Carter subgroups of $B$.
Keywords:
finite solvable group, Carter subgroup, commuting subgroup, nilpotent group, supersolvable group, Gaschütz subgroup, Sylow subgroup.
Received: 20.01.2011
Citation:
V. S. Monakhov, “On the Solvability of a Group with Commuting Subgroups”, Mat. Zametki, 93:3 (2013), 436–441; Math. Notes, 93:3 (2013), 460–464
Linking options:
https://www.mathnet.ru/eng/mzm9057https://doi.org/10.4213/mzm9057 https://www.mathnet.ru/eng/mzm/v93/i3/p436
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