Groups of finite Morley rank with a generically sharply multiply transitive action

Alexandre Borovik, Ayşe Berkman

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    Abstract

    We prove that if G is a group of finite Morley rank which acts definably and generically sharply n-transitively on a connected abelian group V of Morley rank n with no involutions, then there is an algebraically closed field F of characteristic ≠2 such that V has a structure of a vector space of dimension n over F and G acts on V as the group GL_n(F) in its natural action on F_n.
    Original languageEnglish
    Article numberarXiv:1802.05222 [math.GR]
    JournalJournal of Algebra
    Volume513
    Early online date31 Jul 2018
    DOIs
    Publication statusPublished - 2018

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