Unipotence in positive characteristic for groups of finite Morley rank

Authors

JULES GAEL TINDZOGHO NTSIRI

DOI

10.55730/1300-0098.3435

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

First Page

1374

Last Page

1391

Recommended Citation

NTSIRI, JULES GAEL TINDZOGHO (2023) "Unipotence in positive characteristic for groups of finite Morley rank," Turkish Journal of Mathematics: Vol. 47: No. 5, Article 6. https://doi.org/10.55730/1300-0098.3435
Available at: https://journals.tubitak.gov.tr/math/vol47/iss5/6