(*)-groups and pseudo-bad groups

• Autores: Luis Jaime Corredor
• Localización: Revista Colombiana de Matemáticas, ISSN-e 0034-7426, Vol. 37, Nº. 2, 2003, págs. 51-63
• Idioma: inglés
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• Resumen

  • We give an example of an infinite simple Frobenius group G without involutions, with a trivial kernel and a nilpotent complement. Nevertheless, this group is not $\omega $- stable (not even superstable), this is the "only" property missing in order to be a counterexample to the Cherlin-Zil'ber Conjecture which says that simple $\omega $- stable groups are algebraic groups.