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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)}.
A. K. Shlyopkin
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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.
В. И. Сенашов
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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:
В. И. Сенашов
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Shunkov Groups Saturated by General Linear Groups of Degree 3
Siberian Mathematical Journal, 2022 А. А. Шлепкин
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On Sylow Subgroups of Some Shunkov Groups
Ukrainian Mathematical Journal, 2015 В. И. Сенашов
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On Sylow subgroups of Shunkov periodic groups
Ukrainian Mathematical Journal, 2005 В. И. Сенашов
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Shunkov groups with primary minimality condition. II
1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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