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.
Morley rank, definable, unipotence, indecomposable group
NTSIRI, JULES GAEL TINDZOGHO
"Unipotence in positive characteristic for groups of finite Morley rank,"
Turkish Journal of Mathematics: Vol. 47:
5, Article 6.
Available at: https://journals.tubitak.gov.tr/math/vol47/iss5/6