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// Algebra i logika
// Archive
Algebra Logika,
2019
Volume 58,
Number 1,
Pages
22–34
(Mi al879)
Some periodic groups admitting a finite regular automorphism of even order
E. B. Durakov
,
A. I. Sozutov
Siberian Federal University, Krasnoyarsk
Abstract:
We study the structure of an infinite group with automorphism of order
$2p$
where
$p$
is an odd prime leaving only the identity element fixed.
Keywords:
periodic group, Frobenius group, locally finite group, automorphism.
UDC:
512.544
Received: 27.11.2017
Revised: 07.05.2019
DOI:
10.33048/alglog.2019.58.102
Fulltext:
PDF file (230 kB)
References
English version:
Algebra and Logic, 2019,
58
:1,
15–22
Bibliographic databases:
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Steklov Math. Inst. of RAS
, 2025