Elisa Covato
On boundedly generated subgroups of profinite groups
Covato, Elisa
Authors
Abstract
In this paper we investigate the following general problem. Let G be a group and let i(G) be a property of G. Is there an integer d such that G contains a d-generated subgroup H with i(H) = i(G)? Here we consider the case where G is a profinite group and H is a closed subgroup, extending earlier work of Lucchini and others on finite groups. For example, we prove that d = 3 if i(G) is the prime graph of G, which is best possible, and we show that d = 2 if i(G) is the exponent of a finitely generated prosupersolvable group G. © 2014 Elsevier Inc.
| Journal Article Type | Article |
|---|---|
| Online Publication Date | Mar 17, 2014 |
| Publication Date | May 15, 2014 |
| Deposit Date | Apr 25, 2024 |
| Journal | Journal of Algebra |
| Print ISSN | 0021-8693 |
| Publisher | Elsevier |
| Peer Reviewed | Peer Reviewed |
| Volume | 406 |
| Pages | 20-45 |
| DOI | https://doi.org/10.1016/j.jalgebra.2014.02.019 |
| Public URL | https://uwe-repository.worktribe.com/output/11915350 |
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