Profinite groups with soluble centralisers
Abstract We show that a profinite group, in which the centralisers of non-trivial elements are metabelian, is either virtually pro- p or virtually soluble of derived length at most 4. We furthermore show that a prosoluble group, in which the centralisers of non-trivial elements are soluble of bounded derived length, is either soluble or virtually pro- p .
Authors
- Anitha Thillaisundaram (ORCID: https://orcid.org/0000-0001-8768-2590)
- Pavel Shumyatsky (ORCID: https://orcid.org/0000-0002-4976-5675)
Institutions
- Universidade de Brasília (BR)
- Lund University (SE)
Publication Details
- Journal
- Monatshefte für Mathematik
- Published
- 2024-09-23
- DOI
- https://doi.org/10.1007/s00605-024-02014-5
- Primary Topic
- Finite Group Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Fundação de Apoio à Pesquisa do Distrito Federal
- Kungliga Fysiografiska Sällskapet i Lund