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.
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Korenev, A.A. Pro-p Groups with Finite Number of Ends. Mathematical Notes 76, 490–496 (2004). https://doi.org/10.1023/B:MATN.0000043479.29512.08
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DOI: https://doi.org/10.1023/B:MATN.0000043479.29512.08