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JOURNALS
// Matematicheskie Zametki
// Archive
Mat. Zametki,
2003
Volume 73,
Issue 6,
Pages
904–909
(Mi mzm239)
This article is cited in
5
papers
A Remark on Subgroup Separability in the Class of Finite
$\pi$
-Groups
E. V. Sokolov
Ivanovo State University
Abstract:
We prove that if a group
$G$
is residually
$\mathscr N$
, then for every
$\mathscr N$
-subgroup of the group
$G$
, the set of
$\pi'$
-roots from this subgroup is a
$\pi$
-separable
$\mathscr N$
-subgroup.
UDC:
512.543
Received:
15.11.2001
Revised:
16.07.2002
DOI:
10.4213/mzm239
Fulltext:
PDF file (174 kB)
References
Cited by
English version:
Mathematical Notes, 2003,
73
:6,
855–858
Bibliographic databases:
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Steklov Math. Inst. of RAS
, 2024