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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2023 Volume 64, Number 4, Pages 770–772 (Mi smj7796)

This article is cited in 1 paper

On extension of a regular automorphism

D. V. Lytkinaab, V. D. Mazurovba

a Siberian State University of Telecommunications and Informatics, Novosibirsk
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: Given a regular automorphism of a normal abelian subgroup of a periodic group, we find some sufficient conditions for the possibility of extending the automorphism to the whole group.

Keywords: regular automorphism, periodic group, extension of automorphism.

UDC: 512.542

MSC: 35R30

Received: 31.03.2023
Revised: 14.05.2023
Accepted: 16.05.2023

DOI: 10.33048/smzh.2023.64.409



© Steklov Math. Inst. of RAS, 2025