A note on dual prehomomorphisms from a group into the Margolis–Meakin expansion of a group

Billhardt, Bernd; Singha, Boorapa; Sommanee, Worachead; Thamkaew, Paweena; Tiammee, Jukrapong

dc.date.accessioned	2021-10-05T14:54:33Z
dc.date.available	2021-10-05T14:54:33Z
dc.date.issued	2020-08-07
dc.identifier	doi:10.17170/kobra-202109224795
dc.identifier.uri	http://hdl.handle.net/123456789/13284
dc.description	The original article has been updated. Open Access funding enabled and organized by Projekt DEAL.	ger
dc.description.sponsorship	Gefördert im Rahmen des Projekts DEAL	ger
dc.language.iso	eng	eng
dc.rights	Namensnennung 4.0 International	*
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/	*
dc.subject	Margolis-Meakin expansion	eng
dc.subject	E-unitary inverse monoid	eng
dc.subject	dual prehomomorphism	eng
dc.subject.ddc	510
dc.title	A note on dual prehomomorphisms from a group into the Margolis–Meakin expansion of a group	eng
dc.type	Aufsatz
dcterms.abstract	We give a category-free order theoretic variant of a key result in Auinger and Szendrei (J Pure Appl Algebra 204(3):493–506, 2006) and illustrate how it might be used to compute whether a finite X-generated group H admits a canonical dual prehomomorphism into the Margolis–Meakin expansion M(G) of a finite X-generated group G. We show that for G the Klein four-group a suitable H must be of exponent 6 at least and recapture a result of Szakács.	eng
dcterms.accessRights	open access
dcterms.creator	Billhardt, Bernd
dcterms.creator	Singha, Boorapa
dcterms.creator	Sommanee, Worachead
dcterms.creator	Thamkaew, Paweena
dcterms.creator	Tiammee, Jukrapong
dc.relation.doi	doi:10.1007/s00233-020-10118-1
dc.subject.swd	Halbgruppe	ger
dc.subject.swd	Monoid	ger
dc.type.version	publishedVersion
dcterms.source.identifier	eissn:1432-2137
dcterms.source.issue	Issue 3
dcterms.source.journal	Semigroup Forum	eng
dcterms.source.pageinfo	534-546
dcterms.source.volume	Volume 101
kup.iskup	false