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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 3, Pages 226–230
DOI: https://doi.org/10.21538/0134-4889-2016-22-3-226-230 (Mi timm1338) 		 
On the $\pi$-length of locally finite $\pi$-separable groups

Z. B. Selyaeva

Kabardino-Balkar State University, Nal'chik
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DOI: https://doi.org/10.21538/0134-4889-2016-22-3-226-230
Abstract: We prove the $\pi$-separability of a locally finite group $G$ in which all finite subgroups are $\pi$-separable and their $\pi$-lengths are bounded in total.
Keywords: locally finite groups, $\pi$-separable groups, $\pi$-length of a group.
Received: 23.12.2015
Bibliographic databases:
Document Type: Article
UDC: 512.542
MSC: 20F50
Language: Russian
Citation: Z. B. Selyaeva, “On the $\pi$-length of locally finite $\pi$-separable groups”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 3, 2016, 226–230
Citation in format AMSBIB
\Bibitem{Sel16}
\by Z.~B.~Selyaeva
\paper On the $\pi$-length of locally finite $\pi$-separable groups
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2016
\vol 22
\issue 3
\pages 226--230
\mathnet{http://mi.mathnet.ru/timm1338}
\crossref{https://doi.org/10.21538/0134-4889-2016-22-3-226-230}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3555727}
\elib{https://elibrary.ru/item.asp?id=26530897}
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