BN-pairs of finite Morley rank where $B$ is solvable
Tent, Katrin
Bull. Belg. Math. Soc. Simon Stevin, Tome 11 (2004) no. 1, p. 49-62 / Harvested from Project Euclid
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Let $G$ be a simple group of finite Morley rank with a definable irreducible BN-pair of (Tits) rank $2$ where $B$ is solvable and let $\fP$ be the associated generalized $n$-gon. If $n$ is odd and $B$ connected, then $n=3$ and $G$ is definably isomorphic to $PSL_3(K)$ for some algebraically closed field $K$. Furthermore, $n\leq 14$ if $T=B\cap N\neq 1$. We also give sufficient conditions for $G$ to be a simple algebraic group.
Publié le : 2004-03-14
Classification:  Groups of finite Morley rank,  BN-pairs,  20A15,  03C60,  20E42 
@article{1080056159,
     author = {Tent, Katrin},
     title = {BN-pairs of finite Morley rank where $B$ is solvable},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {11},
     number = {1},
     year = {2004},
     pages = { 49-62},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1080056159}
}

Tent, Katrin. BN-pairs of finite Morley rank where $B$ is solvable. Bull. Belg. Math. Soc. Simon Stevin, Tome 11 (2004) no. 1, pp.  49-62. http://gdmltest.u-ga.fr/item/1080056159/