Biplanes with flag-transitive automorphism groups of almost simple type, with exceptional socle of Lie type

  • Eugenia O’Reilly-Regueiro
  • Published 2008

Abstract

In this paper we prove that there is no biplane admitting a flag-transitive automorphism group of almost simple type, with exceptional socle of Lie type. A biplane is a (v, k,2)-symmetric design, and a flag is an incident point-block pair. A group G is almost simple with socle X if X is the product of all the minimal normal subgroups of G, and X G≤ Aut (G… (More)

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