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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 2019 Volume 105, Issue 3, Pages 428–432 (Mi mzm11819)
On Groups with an Isolated $2$-Subgroup

A. I. Sozutov, B. E. Durakov

Siberian Federal University, Krasnoyarsk

Abstract: In the paper, sufficient conditions for a group with an isolated $2$-subgroup to be a Frobenius group are found.

Keywords: isolated subgroup, $2$-subgroup, Frobenius group, finite involution, perfect involution.

UDC: 512.54

Received: 06.10.2017
Revised: 15.01.2018

DOI: 10.4213/mzm11819


 English version: Mathematical Notes, 2019, 105:3, 425–428

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© Steklov Math. Inst. of RAS, 2025