Dominions in varieties generated by simple groups

Details Dominions in varieties generated by simple groups Dominions in varieties generated by simple groups

1998-07-21

arxiv.org/abs/math/9807119v1

Algebra univers. 48 (2002) 133-143

Mathematics

Group Theory

Plain TeX, 12 pp

Scientific paper

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)$ is determined, generalizing an example of B.H. Neumann. A necessary and sufficient condition for $H$ to be epimorphically embedded in $S$ is obtained. These results are then extended to a variety generated by a family of finite nonabelian simple groups.

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