An Automorphism of A Free Metabelian Group Without Fixed Points

Simple item page
dc.creatorKassabov, Martin
dc.date2003-11-26
dc.date.accessioned2026-07-07T05:03:19Z
dc.date.available2026-07-07T05:03:19Z
dc.descriptionWe construct an example of an IA-automorphism of the free metabelian group of rank $n\geq 3$ without nontrivial fixed points. That gives a negative answer to the question raised by Shpilrain. By a result of Bachmuth \cite{Ba1}, such an automorphism does not exist if the rank is equal to 2.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/math/0311490
dc.identifierhttp://arxiv.org/abs/math/0311490
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69367
dc.subjectGroup Theory
dc.subjectPrimary 20E05; Secondary 20E36, 22F28
dc.titleAn Automorphism of A Free Metabelian Group Without Fixed Points
dc.typetext

Files

Collections

arXiv