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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


 English version:
Mathematical Notes, 2003, 73:6, 855–858

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