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«THE BULLETIN OF IRKUTSK STATE UNIVERSITY». SERIES «MATHEMATICS»
«IZVESTIYA IRKUTSKOGO GOSUDARSTVENNOGO UNIVERSITETA». SERIYA «MATEMATIKA»
ISSN 1997-7670 (Print)
ISSN 2541-8785 (Online)

List of issues > Series «Mathematics». 2026. Vol 55

Shunkov Groups with Additional Finiteness Conditions, Containing Dihedral Subgroups

Author(s)

Vasiliy S. Senashov1,  Aleksei A. Shlyopkin1

1 Siberian Federal University, Krasnoyarsk, Russian Federation

Abstract
In this paper, Shunkov groups are studied in the context of the well-known question of B. Amberg and L. S. Kazarin about the structure of groups containing direct products of a finite number of dihedral groups. To do this, two additional finiteness conditions are imposed on the Shunkov group: it is required that the Shunkov group be periodic and also be saturated with direct products of a finite number of finite dihedral groups.
About the Authors

Vasiliy S. Senashov, Undergraduate, Siberian Federal University, Krasnoayrsk, 660041, Russian Federation, vasily.senashov@yandex.ru, 

Aleksei A. Shlepkin, Dr. Sci. (Phys.-Math.), Prof., Siberian Federal University, Krasnoayrsk, 660041, Russian Federation, shlyopkin@mail.ru,

For citation
Senashov V. S., Shlepkin A. A. Shunkov Groups with Additional Finiteness Conditions, Containing Dihedral Subgroups. The Bulletin of Irkutsk State University. Series Mathematics, 2026, vol. 55, pp. 134–143. (in Russian) https://doi.org/10.26516/1997-7670.2026.55.134
Keywords
saturation of a group with a given set of groups, Shunkov group, periodic group, dihedral group
UDC
512.54
MSC
20E25
DOI
https://doi.org/10.26516/1997-7670.2026.55.134
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