Results 1 to 10 of about 874 (120)
On Two Properties of Shunkov Group
Известия Иркутского государственного университета: Серия "Математика", 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, I. V. Sabodakh
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On a Sufficient Condition for the Existence of a Periodic Part in the Shunkov Group
Известия Иркутского государственного университета: Серия "Математика", 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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On Periodic Groups of Shunkov with the Chernikov Centralizers of Involutions
Известия Иркутского государственного университета: Серия "Математика", 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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On Shunkov Groups Saturated with Finite Groups
Известия Иркутского государственного университета: Серия "Математика", 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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Shunkov groups saturated with general linear groups
Siberian Mathematical Journal, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
А. А. Шлепкин
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On the Shunkov groups acting freely on Abelian groups
The Bulletin of Irkutsk State University. Series Mathematics, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. I. Sozutov
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On Periodic Groups and Shunkov Groups that are Saturated by Dihedral Groups and A5
The Bulletin of Irkutsk State University, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
А. А. Шлепкин
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Shunkov Groups with the Minimal Condition for Noncomplemented Abelian Subgroups
Journal of Siberian Federal University. Mathematics & Physics, 2015 Summary: In the present paper, we give a complete exhaustive description of the pointed out Shunkov groups.
Н. С. Черников
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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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About Periodic Shunkov Group Saturated with Finite Simple Groups of Lie Type Rank 1
Известия Иркутского государственного университета: Серия "Математика", 2016 The property of group G to be saturated with given set of groups X is a natural generalization of locally-cover definition (in class of locally finite groups) on periodic groups. Locally-finite group, witch has a locally-cover contains from finite simple
A. Shlepkin
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