Results 11 to 20 of about 49 (41)

On Periodic Groups and Shunkov Groups that are Saturated by Dihedral Groups and A5

The Bulletin of Irkutsk State University, 2017
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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.
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About Shunkov's groups, saturated with direct product of groups

Владикавказский математический журнал, 2012
Доказано, что периодическая группа Шункова, насыщенная прямыми произведениями циклических групп нечетных порядков на специальные проективные линейные группы размерности 2 над конечными полями характеристики 2, локально конечна.
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About Shunkov groups, saturated with linear and unitary groups of dimension 3

Sibirskie Elektronnye Matematicheskie Izvestiya, 2016
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On the periodic part of the Shunkov group saturated with linear groups of degree 2 over finite fields of even characteristic

Chebyshevskii sbornik, 2019
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Periodic Shunkov’s groups saturated by the direct products of an elementary Abelian 2-groups and a simple groups $L_2(2^m)$

Sibirskie Elektronnye Matematicheskie Izvestiya, 2013
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Shunkov Groups Saturated with Almost Simple Groups

Algebra and Logic, 2023
A group \(G\) is a Shunkov group if whenever \(H\) is a finite subgroup of \(G\) any two conjugate elements of prime order in the group \(N_G(H)/H\) generate a finite subgroup. The class of such groups forms a generalization of the class of locally finite groups.
Maslova, N. V., Shlepkin, A. A.
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Characterizations of the Shunkov groups

Ukrainian Mathematical Journal, 2008
We study the structure of a family of finite groups of the form L g = 〈a, a g 〉 in a periodic Shunkov group. As a consequence of the obtained result, we get two characterizations of periodic Shunkov groups.
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Periodic part in some Shunkov groups

Algebra and Logic, 1999
A group G is saturated with groups in a set X if every finite subgroup of G is embeddable in G into a subgroup L isomorphic to some group in X. We show that a Shunkov group has a periodic part if the saturating set for it coincides with one of the following: {L2(q)}, {Sz(q)}, {Re(q)}, or {U3(2n)}.
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The structure of an infinite Sylow subgroup in some periodic Shunkov groups

Discrete Mathematics and Applications, 2002
AbstractWe study periodic groups such that the normaliser of any finite non-trivial subgroup of such a group is almost layer-finite. The class of groups satisfying this condition is rather wide and includes the free Burnside groups of odd period which is greater than 665 and the groups constructed by A. Yu. Olshanskii.We consider the classical question:
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