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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2011 Volume 89, Issue 1, Pages 104–108 (Mi mzm8644)
This article is cited in 11 papers

Characterization of Classes of Finite Groups with the Use of Generalized Subnormal Sylow Subgroups

V. N. Semenchuk, S. N. Shevchuk

Francisk Skaryna Gomel State University

Abstract: A characterization of the classes of all $\pi$-nilpotent, all $\pi$-closed, and all $\pi$-decomposable finite groups is obtained by using generalized subnormal Sylow subgroups.

Keywords: generalized subnormal Sylow subgroup, $\pi$-nilpotent finite group, $\pi$-closed finite group, $\pi$-decomposable finite group.

UDC: 512.542

Received: 30.09.2009

DOI: 10.4213/mzm8644


 English version: Mathematical Notes, 2011, 89:1, 117–120

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