This article is cited in 1 paper

Groups with relatively small normalizers of biprimary subgroups

V. A. Antonov, T. G. Nozhkina

Chair of General Mathematics, South Ural State University, 76 Lenin Ave., Chelyabinsk, 454080 Russia

Abstract: We completely describe groups whose any biprimary or nonprimary subgroup is such that the index of its product by the centralizer in its normalizer is divisable by some prime number (fixed for the given group). We give full description of these groups.

Keywords: group, subgroup, biprimary subgroup, nonprimary subgroup, centralizer, normalizer, index.

UDC: 512.54

Received: 08.06.2012

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2013, 57:8, 1–9

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