V. N. Knyagina, V. S. Monakhov, “On the $\pi'$-properties of a finite group possessing a Hall $\pi$-subgroup”, Sibirsk. Mat. Zh., 2011, Volume 52, Number 2,Pages 297

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On the $\pi'$-properties of a finite group possessing a Hall $\pi$-subgroup

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

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

Abstract: We study the $\pi'$-properties of a finite group possessing a Hall $\pi$-subgroup that permutes with some Sylow subgroups or some minimal nonnilpotent subgroups.

Keywords: finite group, Hall subgroup, supplement, commuting subgroups.

UDC: 512.542

Received: 17.12.2009