Thompson transitivity theorem: Difference between revisions

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In mathematical [[finite group theory]], the '''Thompson transitivity theorem''' gives conditions under which the [[Centralizer and normalizer|centralizer]] of an [[abelian subgroup]] ''A'' acts [[Group_action#Transitivity_properties|transitively]] on certain subgroups normalized by ''A''. It originated in the proof of the [[Feit–Thompson theorem|odd order theorem]] by {{harvs|txt|last=Feit|last2=Thompson|author2-link=John G. Thompson|year=1963}}, where it was used to prove the [[Thompson uniqueness theorem]].

==Statement==