1998/07/21 by Arturo Magidin
Mathematics · #math.GR #msc:08B25 #msc:20E32 #msc:20E10
published as Algebra univers. 48 (2002) 133-143 · Plain TeX, 12 pp
arxiv created 1998/07/21 · arxiv updated 2009/11/30
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.