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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 3, Pages 10–22 (Mi timm833)  
This article is cited in 5 scientific papers (total in 5 papers)

$ABA$-groups with cyclic subgroup $B$

B. Amberga, L. S. Kazarinb

a Johannes Gutenberg-Universität, Mainz
b Кафедра алгебры и мат. логики, Ярославский гос. университет им. П. Г. Демидова
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Abstract: Some criteria to the solubility of groups of the form $G=ABA$ with a nilpotent subgroup $A$ and a cyclic subgroup $B$ are derived. In particular, it is proved (using the classification of the finite simple groups) that the finite group $G=ABA$ is soluble if $A$ is a nilpotent group of odd order and $B$ is a cyclic group and $(|A|,|B|)=1$.
Keywords: simple group, Lie type group, sporadic simple group.
Received: 30.01.2012
Bibliographic databases:
Document Type: Article
UDC: 512.54
Language: English
Citation: B. Amberg, L. S. Kazarin, “$ABA$-groups with cyclic subgroup $B$”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 3, 2012, 10–22
Citation in format AMSBIB
\Bibitem{AmbKaz12}
\by B.~Amberg, L.~S.~Kazarin
\paper $ABA$-groups with cyclic subgroup~$B$
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2012
\vol 18
\issue 3
\pages 10--22
\mathnet{http://mi.mathnet.ru/timm833}
\elib{https://elibrary.ru/item.asp?id=17937004}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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