Year: 2024
Type: article
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.
Source: Monatshefte für Mathematik
Authors: Pavel Shumyatsky, Anitha Thillaisundaram
Institutions: Universidade de Brasília, Lund University
Language: English
Topic: Finite Group Theory Research
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,990
OpenAlex ID: W4402720197