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Matematicheskie Zametki, 2004, Volume 76, Issue 4, Pages 531–538
DOI: https://doi.org/10.4213/mzm129 (Mi mzm129) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Pro-$p$ Groups with Finite Number of Ends

A. A. Korenev

Belarusian State University
Full-text PDF (184 kB) Citations (9)
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DOI: https://doi.org/10.4213/mzm129
Abstract: The number of ends for a pro-p group is defined. The adequacy of the definition is confirmed by the obtained pro-p analogs of results on the number of ends of abstract groups. In particular, it is shown that, as in the abstract case, a pro-p group can have only 0, 1, 2, or infinitely many ends; pro-p groups with two ends are classified and a sufficient condition for a pro-p group to have precisely one end is obtained.
Received: 28.04.2003
English version:
Mathematical Notes, 2004, Volume 76, Issue 4, Pages 490–496
DOI: https://doi.org/10.1023/B:MATN.0000043479.29512.08
Bibliographic databases:
UDC: 512.546.37
Language: Russian
Citation: A. A. Korenev, “Pro-$p$ Groups with Finite Number of Ends”, Mat. Zametki, 76:4 (2004), 531–538; Math. Notes, 76:4 (2004), 490–496
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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