Dominions in varieties generated by simple groups |
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Authors: | Arturo Magidin |
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Institution: | (1) Instituto de Matemáticas, Universidad Nacional Autónoma de México, Circuito Exterior, Ciudad Universitaria, 04510 Mexico City, Mexico, e-mail: magidin@matem.unam.mx, MX |
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Abstract: | We determine the dominion (in the sense of Isbell) of a subgroup H of a finite nonabelian simple group S in Var(S). We also obtain necessary and suficient conditions for H to be epimorphically embedded in S, and derive several examples, which generalize an example of B. H. Neumann. Finally, we extend the results to a variety generated
by a family of finite nonabelian simple groups.
Received May 12, 1999; accepted in final form April 9, 2002. |
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Keywords: | and phrases: Dominion simple group epimorphism |
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