Pro-p group
id:
pro-p-group-260-9480202
title:
Pro-p group
text:
In mathematics, a pro-p group is a profinite group G such that for any open normal subgroup N ◃ G the quotient group G / N is a p-group. Note that, as profinite groups are compact, the open subgroups are exactly the closed subgroups of finite index, so that the discrete quotient group is always finite. Alternatively, one can define a pro-p group to be the inverse limit of an inverse system of discrete finite p-groups. The best-understood class of pro-p groups is the p-adic analytic groups: group
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Pro-p_group
date created:
date modified:
2024-01-26T18:51:14Z
main entity:
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image:
fields total:
13
integrity:
13