V. S. Monakhov, “Finite <nobr>$\pi$</nobr>-Solvable Groups Whose Maximal Subgroups Have the Hall Property”, Mat. Zametki, 2008, Volume 84, Issue 3,Pages <nobr>390

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Finite $\pi$-Solvable Groups Whose Maximal Subgroups Have the Hall Property

V. S. Monakhov

Francisk Skorina Gomel State University

Abstract: Properties of an arbitrary finite $\pi$-solvable group whose maximal subgroups are Hall subgroups are established.

Keywords: maximal subgroup, Hall subgroup, Frattini subgroup, Fitting subgroup, Sylow subgroup, dispersive group, supersolvable group, metacyclic group.

UDC: 512.542

Received: 08.10.2007
Revised: 18.12.2007

DOI: 10.4213/mzm4120