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// Trudy Instituta Matematiki i Mekhaniki UrO RAN
// Archive
Trudy Inst. Mat. i Mekh. UrO RAN,
2016
Volume 22,
Number 3,
Pages
226–230
(Mi timm1338)
On the
$\pi$
-length of locally finite
$\pi$
-separable groups
Z. B. Selyaeva
Kabardino-Balkar State University, Nal'chik
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.
UDC:
512.542
MSC:
20F50
Received:
23.12.2015
DOI:
10.21538/0134-4889-2016-22-3-226-230
Fulltext:
PDF file (138 kB)
References
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Steklov Math. Inst. of RAS
, 2024