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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Volume 19, Number 3, Pages 45–61 (Mi timm962)  
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)
Full-text PDF (239 kB) Citations (2)
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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
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2014, Volume 285, Issue 1, Pages S42–S57
DOI: https://doi.org/10.1134/S0081543814050058
Bibliographic databases:
Document Type: Article
UDC: 512.544
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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