Unipotence in positive characteristic for groups of finite Morley rank

Authors: JULES GAEL TINDZOGHO NTSIRI

Abstract: In this article we define a new form of unipotence in groups of finite Morley rank which extends Burdges unipotence to any characteristic. In particular, we show that every connected solvable group of finite Morley rank $G$ has a definable connected subgroup $H$ whose derived subgroup $H'$ is a good unipotent subgroup of finite Morley rank.

Keywords: Morley rank, definable,unipotence, indecomposable group

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