V. N. Knyagina, V. S. Monakhov, “Subgroups of a Finite Group Commuting with Biprimary Subgroups”, Mat. Zametki, 2011, Volume 89, Issue 4,Pages <nobr>524

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Subgroups of a Finite Group Commuting with Biprimary Subgroups

V. N. Knyagina^a, V. S. Monakhov^b

^a Gomel Engineering Institute, Ministry of Extraordinary Situations of the Republic of Belarus
^b Francisk Skorina Gomel State University

Abstract: The solvability of $H/H_G$ is established under the assumption that a subgroup $H$ of a finite group $G$ commutes with all biprimary subgroups of even order.

Keywords: finite group, biprimary subgroup, solvable finite group, core of a subgroup, Sylow subgroup, dispersive subgroup, Frobenius group, formation of groups.

UDC: 512.542

Received: 05.06.2009

DOI: 10.4213/mzm8576