Finite permutation groups with a transitive minimal normal subgroup

• Autores: John Bamberg, Cheryl E. Praeger
• Localización: Proceedings of the London Mathematical Society, ISSN 0024-6115, Vol. 89, Nº 1, 2004, págs. 71-103
• Idioma: inglés
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• Resumen

  • A finite permutation group is said to be innately transitive if it contains a transitive minimal normal subgroup. In this paper, we give a characterisation and structure theorem for the finite innately transitive groups, as well as describing those innately transitive groups which preserve a product decomposition. The class of innately transitive groups contains all primitive and quasiprimitive groups.