## Journal of Symbolic Logic

### Bad Groups of Finite Morley Rank

Luis Jaime Corredor

#### Abstract

We prove the following theorem. Let $G$ be a connected simple bad group (i.e. of finite Morley rank, nonsolvable and with all the Borel subgroups nilpotent) of minimal Morley rank. Then the Borel subgroups of $G$ are conjugate to each other, and if $B$ is a Borel subgroup of $G$, then $G = \bigcup_{g \in G}B^g,N_G(B) = B$, and $G$ has no involutions.

#### Article information

Source
J. Symbolic Logic, Volume 54, Issue 3 (1989), 768-773.

Dates
First available in Project Euclid: 6 July 2007

https://projecteuclid.org/euclid.jsl/1183743015

Mathematical Reviews number (MathSciNet)
MR1011167

Zentralblatt MATH identifier
0689.03017

JSTOR