A group and the completion of its coset semigroup

Xian-zhong Zhao, Zi-dong Gao, Dong-lin Lei

Let ${\mathcal{K}}_1(G)$ denote the inverse subsemigroup of $\mathcal{K}(G)$ consisting of all right cosets of all non-trivial subgroups of $G$. This paper concentrates on the study of the…