Scopus: 2 citations, Web of Science: 1 citations,
On the fixed-point set of an automorphism of a group
Wehrfritz, B. A. F.

Date: 2013
Abstract: Let Ø be an automorphism of a group G. Under variousfiniteness or solubility hypotheses, for example under polycyclicity, the commutator subgroup [G; Ø] has finite index in G if thefixed-point set CG(Ø) of Ø in G isfinite, but not conversely, even for polycyclic groups G. Here we consider a stronger, yet natural, notion of what it means for [G;Ø] to have finite index' in G and show that in many situations, including G polycyclic, it is equivalent to CG(Ø) being finite.
Rights: Tots els drets reservats
Language: Anglès
Document: article ; recerca ; publishedVersion
Subject: Automorphism ; Xed-point set ; Soluble group
Published in: Publicacions matemàtiques, Vol. 57, Núm. 1 (2013) , p. 139-153, ISSN 0214-1493

Adreça original: https://www.raco.cat/index.php/PublicacionsMatematiques/article/view/10.5565-PUBLMAT_57113_06
Adreça alternativa: https://www.raco.cat/index.php/PublicacionsMatematiques/article/view/10.5565-PUBLMAT_57113_06
Adreça alternativa: http://www.raco.cat/index.php/PublicacionsMatematiques/article/view/10.5565-PUBLMAT_57113_06
DOI: 10.5565/PUBLMAT_57113_06


15 p, 315.9 KB

The record appears in these collections:
Articles > Published articles > Publicacions matemàtiques
Articles > Research articles

 Record created 2013-01-10, last modified 2018-07-16



   Favorit i Compartir