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Preprint Number 1384
1384. Ayşe Berkman and Alexandre Borovik Groups of finite Morley rank with a generically sharply multiply
transitive action E-mail: , Submission date: 14 February 2018 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. Mathematics Subject Classification: 20F11, 03C60 Keywords and phrases: groups of finite Morley rank, multiply transitive group actions |

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