In this paper, we construct an inverse monoid $M\left( G\right) $ associated to a given group $G$ by using the notion of the join of subgroups and then, by applying the left action of monoid $M$ on a semigroup $S$, we form a semigroup $S\omega M$ on the set $S\times M$. The finally result is to build the semi direct product of groups associated to the group action on an another group.
Ghadbane, N. (2019). The inverse monoid associated to a group and the semidirect product of groups. Journal of Algebra and Related Topics, 7(1), 25-34. doi: 10.22124/jart.2019.11348.1120
MLA
N. Ghadbane. "The inverse monoid associated to a group and the semidirect product of groups". Journal of Algebra and Related Topics, 7, 1, 2019, 25-34. doi: 10.22124/jart.2019.11348.1120
HARVARD
Ghadbane, N. (2019). 'The inverse monoid associated to a group and the semidirect product of groups', Journal of Algebra and Related Topics, 7(1), pp. 25-34. doi: 10.22124/jart.2019.11348.1120
VANCOUVER
Ghadbane, N. The inverse monoid associated to a group and the semidirect product of groups. Journal of Algebra and Related Topics, 2019; 7(1): 25-34. doi: 10.22124/jart.2019.11348.1120
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