Results 1 to 10 of about 93 (59)
On Shunkov Groups Saturated with Finite Groups
Bulletin of Irkutsk State University, Series Mathematics, 2018 The structure of the group consisting of elements of finite order depends to a large extent on the structure of the finite subgroups of the group under consideration. One of the effective conditions for investigating an infinite group containing elements
A A Shlepkin
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On the Shunkov groups acting freely on Abelian groups [PDF]
Siberian Mathematical Journal, 2013 A group \(G\) is called a \textit{Shunkov group} if, for each finite subgroup \(F\) of \(G\), the subgroup generated by any two conjugate elements of prime order in the group \(N_G(F)/F\) is finite. With Theorem 1 the author proves that the set of elements of finite order in a Shunkov group of rank \(1\) (i.e. \(C_p\times C_p\)-free for all primes \(p\)
Sozutov A I
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On Two Properties of Shunkov Group
Bulletin of Irkutsk State University, Series Mathematics, 2021 One of the interesting classes of mixed groups ( i.e. groups that can contain both elements of finite order and elements of infinite order) is the class of Shunkov groups. The group $G$ is called Shunkov group if for any finite subgroup $H$ of $G$ in the
A A Shlepkin
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On Periodic Shunkov’s Groups with Almost Layer-finite Normalizers of Finite Subgroups
Bulletin of Irkutsk State University, Series Mathematics, 2021 Layer-finite groups first appeared in the work by S.~N.~Chernikov (1945). Almost layer-finite groups are extensions of layer-finite groups by finite groups.
V I Senashov
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On Periodic Groups of Shunkov with the Chernikov Centralizers of Involutions
Bulletin of Irkutsk State University, Series Mathematics, 2020 Layer-finite groups first appeared in the work by S.~N.~Chernikov (1945). Almost layer-finite groups are extensions of layer-finite groups by finite groups.
V I Senashov
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Shunkov groups saturated with general linear groups
Siberian Mathematical Journal, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A A Shlepkin, Shlepkin A A
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On a Sufficient Condition for the Existence of a Periodic Part in the Shunkov Group
Bulletin of Irkutsk State University, Series Mathematics, 2017 The group $ G $ is saturated with groups from the set of groups if any a finite subgroup $ K $ of $ G $ is contained in a subgroup of $ G $, which is isomorphic to some group in $ \mathfrak{X} $.
A A Shlepkin
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Shunkov Groups with Additional Finiteness Conditions, Containing Dihedral Subgroups
Известия Иркутского государственного университета: Серия "Математика"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.
V. S. Senashov, A. A. Shlyopkin
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On Periodic Groups and Shunkov Groups that are Saturated by Dihedral Groups and A5
Bulletin of Irkutsk State University, Series Mathematics, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A A Shlepkin
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Shunkov Groups with the Minimal Condition for Noncomplemented Abelian Subgroups
Journal of Siberian Federal University - Mathematics and Physics, 2015 Summary: In the present paper, we give a complete exhaustive description of the pointed out Shunkov groups.
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