Matematičeskie zametki, Tome 76 (2004) no. 4, pp. 531-538
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A. A. Korenev. Pro-$p$ Groups with Finite Number of Ends. Matematičeskie zametki, Tome 76 (2004) no. 4, pp. 531-538. http://geodesic.mathdoc.fr/item/MZM_2004_76_4_a5/
@article{MZM_2004_76_4_a5,
author = {A. A. Korenev},
title = {Pro-$p$ {Groups} with {Finite} {Number} of {Ends}},
journal = {Matemati\v{c}eskie zametki},
pages = {531--538},
year = {2004},
volume = {76},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2004_76_4_a5/}
}
TY - JOUR
AU - A. A. Korenev
TI - Pro-$p$ Groups with Finite Number of Ends
JO - Matematičeskie zametki
PY - 2004
SP - 531
EP - 538
VL - 76
IS - 4
UR - http://geodesic.mathdoc.fr/item/MZM_2004_76_4_a5/
LA - ru
ID - MZM_2004_76_4_a5
ER -
%0 Journal Article
%A A. A. Korenev
%T Pro-$p$ Groups with Finite Number of Ends
%J Matematičeskie zametki
%D 2004
%P 531-538
%V 76
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_2004_76_4_a5/
%G ru
%F MZM_2004_76_4_a5
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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