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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Volume 19, Number 3, Pages 45–61
(Mi timm962)
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This article is cited in 2 scientific papers (total in 2 papers)
Groups with finitary classes of conjugate elements
V. V. Belyaev Moscow Institute of Physics and Technology (State University)
Abstract:
A class of conjugate elements of a group is called finitary if the action of group by conjugation induces a group of finitary permutations of this class. A group with finitary classes of conjugate elements will be called a ФC-group. Some characterizations of ФC-groups in the class of all groups are obtained. It is also shown for every ФC-group that either it is an FC-group, i.e., a group with finite classes of conjugate elements, or its structure is close to the structure of a totally imprimitive group of finitary permutations.
Keywords:
finitary permutation groups, generalized FC-groups.
Received: 20.05.2013
Citation:
V. V. Belyaev, “Groups with finitary classes of conjugate elements”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 3, 2013, 45–61; Proc. Steklov Inst. Math. (Suppl.), 285, suppl. 1 (2014), S42–S57
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https://www.mathnet.ru/eng/timm962 https://www.mathnet.ru/eng/timm/v19/i3/p45
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Abstract page: | 222 | Full-text PDF : | 75 | References: | 53 | First page: | 6 |
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