Inverse semigroups with idempotent-fixing automorphisms

A celebrated result of J. Thompson says that if a finite group G has a fixedpoint-free automorphism of prime order, then G is nilpotent. The main purpose of this note is to extend this result to finite inverse semigroups. An earlier related result of B. H. Neumann says that a uniquely 2-divisible gr...

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Bibliographic Details
Main Author: Araújo, João (author)
Other Authors: Kinyon, Michael (author)
Format: article
Language:eng
Published: 2015
Subjects:
Online Access:http://hdl.handle.net/10400.2/3783
Country:Portugal
Oai:oai:repositorioaberto.uab.pt:10400.2/3783