This article is cited in 16 papers

Finite Groups with Subnormal Second or Third Maximal Subgroups

Yu. V. Lutsenko^a, A. N. Skiba<sup>b

a</sup> I. G. Petrovsky Bryansk State University
^b Francisk Skorina Gomel State University

Abstract: In the paper, the precise structure of finite groups all of whose second (or all of whose third) maximal subgroups are subnormal is established.

Keywords: finite group, second maximal subgroup, third maximal subgroup, subnormal subgroup, Schmidt group, Sylow subgroup, Frattini subgroup, biprimary group, nilpotent group, solvable group, supersolvable group.

UDC: 512.542

Received: 28.09.2010

DOI: 10.4213/mzm9361

 English version: Mathematical Notes, 2012, 91:5, 680–688

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