This article is cited in 9 papers

Pro-$p$ Groups with Finite Number of Ends

A. A. Korenev

Belarusian State University

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.

UDC: 512.546.37

Received: 28.04.2003

DOI: 10.4213/mzm129

 English version: Mathematical Notes, 2004, 76:4, 490–496

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