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Matematicheskie Zametki, 2003, Volume 73, Issue 6, Pages 904–909
DOI: https://doi.org/10.4213/mzm239 (Mi mzm239) 		 
This article is cited in 5 scientific papers (total in 5 papers)

A Remark on Subgroup Separability in the Class of Finite $\pi$-Groups

E. V. Sokolov

Ivanovo State University
Full-text PDF (174 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm239
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.
Received: 15.11.2001
Revised: 16.07.2002
English version:
Mathematical Notes, 2003, Volume 73, Issue 6, Pages 855–858
DOI: https://doi.org/10.1023/A:1024010132151
Bibliographic databases:
UDC: 512.543
Language: Russian
Citation: E. V. Sokolov, “A Remark on Subgroup Separability in the Class of Finite $\pi$-Groups”, Mat. Zametki, 73:6 (2003), 904–909; Math. Notes, 73:6 (2003), 855–858
Citation in format AMSBIB
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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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    		Математические заметки Mathematical Notes
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