Publication
Inverse semigroups with idempotent-fixing automorphisms
| dc.contributor.author | Araújo, João | |
| dc.contributor.author | Kinyon, Michael | |
| dc.date.accessioned | 2015-03-20T10:49:53Z | |
| dc.date.available | 2015-03-20T10:49:53Z | |
| dc.date.issued | 2014 | |
| dc.description.abstract | 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 group with a fixed-point-free automorphism of order 2 is abelian. We similarly extend this result to uniquely 2-divisible inverse semigroups. | por |
| dc.identifier.citation | Araújo, João; Kinyon, Michael - Inverse semigroups with idempotent-fixing automorphisms. "Semigroup Forum" [Em linha]. ISSN 0037-1912 (Print) 1432-2137 (Online). Vol. 89, nº 2 (2014), p. 1-6 | por |
| dc.identifier.doi | 10.1007/s00233-014-9585-0 | |
| dc.identifier.issn | 0037-1912 | |
| dc.identifier.issn | 1432-2137 | |
| dc.identifier.uri | http://hdl.handle.net/10400.2/3783 | |
| dc.language.iso | eng | por |
| dc.peerreviewed | yes | por |
| dc.publisher | http://link.springer.com/article/10.1007/s00233-014-9585-0 | |
| dc.subject | Inverse semigroup | por |
| dc.subject | Automorphism group | por |
| dc.title | Inverse semigroups with idempotent-fixing automorphisms | por |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 6 | por |
| oaire.citation.startPage | 1 | por |
| oaire.citation.title | Semigroup Forum | por |
| person.familyName | Ribeiro Soares Gonçalves de Araújo | |
| person.familyName | Kinyon | |
| person.givenName | João Jorge | |
| person.givenName | Michael Kinyon | |
| person.identifier.ciencia-id | EC1F-273A-9F24 | |
| person.identifier.ciencia-id | 2A10-E0DD-5A23 | |
| person.identifier.orcid | 0000-0001-6655-2172 | |
| person.identifier.orcid | 0000-0002-5227-8632 | |
| rcaap.rights | openAccess | por |
| rcaap.type | article | por |
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