Skip to main content

Lund University Publications

LUND UNIVERSITY LIBRARIES

Profinite groups with soluble centralisers

Shumyatsky, Pavel LU and Thillaisundaram, Anitha LU (2024) In Monatshefte fur Mathematik
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.

Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
epub
subject
keywords
Primary 20E18, Profinite groups, Soluble centralisers
in
Monatshefte fur Mathematik
publisher
Springer
external identifiers
  • scopus:85204589118
ISSN
0026-9255
DOI
10.1007/s00605-024-02014-5
language
English
LU publication?
yes
id
b121c5c0-a004-4865-974a-19c6b43080a2
date added to LUP
2024-12-02 11:39:02
date last changed
2025-04-04 13:53:39
@article{b121c5c0-a004-4865-974a-19c6b43080a2,
  abstract     = {{<p>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.</p>}},
  author       = {{Shumyatsky, Pavel and Thillaisundaram, Anitha}},
  issn         = {{0026-9255}},
  keywords     = {{Primary 20E18; Profinite groups; Soluble centralisers}},
  language     = {{eng}},
  publisher    = {{Springer}},
  series       = {{Monatshefte fur Mathematik}},
  title        = {{Profinite groups with soluble centralisers}},
  url          = {{http://dx.doi.org/10.1007/s00605-024-02014-5}},
  doi          = {{10.1007/s00605-024-02014-5}},
  year         = {{2024}},
}