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Algebra i logika, 2015, Volume 54, Number 2, Pages 158–162
DOI: https://doi.org/10.17377/alglog.2015.54.202 (Mi al685) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The structure of groups possessing Carter subgroups of odd order

E. P. Vdovinab

a Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia
b Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.17377/alglog.2015.54.202
Abstract: Let a group $G$ contain a Carter subgroup of odd order. It is shown that every composition factor of $G$ either is Abelian or is isomorphic to $L_2(3^{2n+1})$, $n\ge1$. Moreover, if $3$ does not divide the order of a Carter subgroup, then $G$ solvable.
Keywords: group, Carter subgroup of odd order, composition factor of group, solvable group.
Received: 20.02.2015
English version:
Algebra and Logic, 2015, Volume 54, Issue 2, Pages 105–107
DOI: https://doi.org/10.1007/s10469-015-9330-0
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: E. P. Vdovin, “The structure of groups possessing Carter subgroups of odd order”, Algebra Logika, 54:2 (2015), 158–162; Algebra and Logic, 54:2 (2015), 105–107
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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    		Алгебра и логика Algebra and Logic
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