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 language | English |
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Article number | arXiv:1802.05222 [math.GR] |
Journal | Journal of Algebra |
Volume | 513 |
Early online date | 31 Jul 2018 |
DOIs | |
Publication status | Published - 2018 |