🇬🇧

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

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.

Sponsor
Gefördert im Rahmen des Projekts DEAL
Citation
In: Semigroup Forum Volume 101 / Issue 3 (2020-08-07) , S. 534-546; eissn:1432-2137
Collections
@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},
  keywords ={510 and Halbgruppe and Monoid},
  copyright  ={http://creativecommons.org/licenses/by/4.0/},
  language ={en},
  journal  ={Semigroup Forum},
  year   ={2020-08-07}
}