This article is cited in 5 papers

Derived Length of Finite Groups with Restrictions on Sylow Subgroups

A. Trofimuk

Francisk Skaryna Gomel State University

Abstract: The dependence of the derived length of a finite solvable group on the orders of nonbicyclic Sylow subgroups of the Fitting subgroup is established.

Keywords: finite solvable group, Sylow subgroup, bicyclic group, Fitting subgroup, Hall subgroup, Frattini subgroup, derived length of a group.

UDC: 512.542

Received: 28.04.2009
Revised: 25.08.2009

DOI: 10.4213/mzm8590

 English version: Mathematical Notes, 2010, 87:2, 264–270

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