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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2014 Volume 55, Number 4, Pages 863–874 (Mi smj2577)

This article is cited in 1 paper

On groups with isolated involution

A. I. Sozutovab, E. B. Durakovb

a Siberian State Aerospace University, Krasnoyarsk, Russia
b Siberian Federal University, Krasnoyarsk, Russia

Abstract: We prove that an isolated involution of an infinite group does not always belong to the preimage of the center of the quotient group by the maximal (periodic) subgroups without involution.

Keywords: infinite group, mixed group, periodic group, isolated involution.

UDC: 519.45

Received: 14.11.2013


 English version:
Siberian Mathematical Journal, 2014, 55:4, 706–714

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© Steklov Math. Inst. of RAS, 2024