Involutive automorphisms of $N_{\circ }^{\circ }$ groups of finite Morley rank

Abstract

We classify a large class of small groups of finite Morley rank: $N_{\circ }^{\circ }$-groups which are the infinite analogues of Thompson's $N$-groups. More precisely, we constrain the $2$-structure of groups of finite Morley rank containing a definable, normal, non-soluble, $N_{\circ }^{\circ }$-subgroup.

Cited by in corpus (4)

• Groups of finite Morley rank with a generically sharply multiply transitive action
• Finite group actions on abelian groups of finite Morley rank
• The geometry of involutions in ranked groups with a TI-subgroup
• Quasi groupes de Frobenius dimensionnels