Aufsatz
A note on dual prehomomorphisms from a group into the Margolis–Meakin expansion of a group
Zusammenfassung
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.
Zitierform
In: Semigroup Forum Volume 101 / Issue 3 (2020-08-07) , S. 534-546 ; eissn:1432-2137Zusätzliche Informationen
The original article has been updated. Open Access funding enabled and organized by Projekt DEAL.Förderhinweis
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@article{doi:10.17170/kobra-202109224795,
author={Billhardt, Bernd and Singha, Boorapa and Sommanee, Worachead and Thamkaew, Paweena and Tiammee, Jukrapong},
title={A note on dual prehomomorphisms from a group into the Margolis–Meakin expansion of a group},
journal={Semigroup Forum},
year={2020}
}
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2021-10-05T14:54:33Z 2021-10-05T14:54:33Z 2020-08-07 doi:10.17170/kobra-202109224795 http://hdl.handle.net/123456789/13284 The original article has been updated. Open Access funding enabled and organized by Projekt DEAL. Gefördert im Rahmen des Projekts DEAL eng Namensnennung 4.0 International http://creativecommons.org/licenses/by/4.0/ Margolis-Meakin expansion E-unitary inverse monoid dual prehomomorphism 510 A note on dual prehomomorphisms from a group into the Margolis–Meakin expansion of a group Aufsatz 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. open access Billhardt, Bernd Singha, Boorapa Sommanee, Worachead Thamkaew, Paweena Tiammee, Jukrapong doi:10.1007/s00233-020-10118-1 Halbgruppe Monoid publishedVersion eissn:1432-2137 Issue 3 Semigroup Forum 534-546 Volume 101 false
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