This article is cited in 1 paper

Mathematics

The derived $p$-length of finite $p$-soluble groups

O. A. Shpyrko

Sevastopol Branch of the M.V. Lomonosov Moscow State University

Abstract: The derived $p$-length of a finite $p$-soluble group is introduced and its elementary properties are described. New estimates of the derived $p$-length of a finite $p$-soluble group are obtained depending on the construction of Sylow $p$-subgroups.

Key words: finite group, $p$-soluble group, derived $p$-length, Sylow $p$-subgroup.

UDC: 512.542

Received: 15.09.2011
Revised: 11.03.2014

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2014, 69:5, 177–181

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