Comments on a Theorem by Olivier Frécon
There is no sad group of Morley rank 2n + 1 with an abelian Borel subgroup of rank n. In particular, Fr{é}con's Theorem follows: There is no bad group of Morely rank 3.
math.LO↗
arXiv subjects
Publications and source records attributed to Bruno Poizat.
There is no sad group of Morley rank 2n + 1 with an abelian Borel subgroup of rank n. In particular, Fr{é}con's Theorem follows: There is no bad group of Morely rank 3.
If $G$ is an omega-stable group with a normal definable subgroup $H$, then the Sylow-$2$-subgroups of $G/H$ are the images of the Sylow-$2$-subgroups of $G$.