Pro-p groups with constant generating number on open subgroups
Group Theory
2010-12-07 v2
Abstract
Let p be a prime. We classify finitely generated pro-p groups G which satisfy d(H) = d(G) for all open subgroups H of G. Here d(H) denotes the minimal number of topological generators for the subgroup H. Within the category of p-adic analytic pro-p groups, this answers a question of Iwasawa.
Keywords
Cite
@article{arxiv.1006.1208,
title = {Pro-p groups with constant generating number on open subgroups},
author = {B. Klopsch and I. Snopce},
journal= {arXiv preprint arXiv:1006.1208},
year = {2010}
}
Comments
11 pages, revised and corrected version