Dominions in varieties generated by simple groups

Abstract

Let~$S$ be a finite nonabelian simple group, and let $H$ be a subgroup of $S$. In this work, the dominion (in the sense of Isbell) of $H$ in $S$ in rmVar(S)$isdetermined,generalizinganexampleofB.H.Neumann.Anecessaryandsufficientconditionfor$H$tobeepimorphicallyembeddedin$S$ is obtained. These results are then extended to a variety generated by a family of finite nonabelian simple groups.

Plain TeX, 12 pp

References in corpus (1)

• Dominions in the variety of metabelian groups