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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2013 Volume 93, Issue 3, Pages 436–441 (Mi mzm9057)
This article is cited 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.

UDC: 512.542

Received: 20.01.2011

DOI: 10.4213/mzm9057


 English version: Mathematical Notes, 2013, 93:3, 460–464

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© Steklov Math. Inst. of RAS, 2025