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

Adrien Deloro; Eric Jaligot

arxiv: 1504.04593 · v2 · pith:7NM52QJDnew · submitted 2015-04-17 · 🧮 math.GR

Involutive automorphisms of N_circ^circ groups of finite Morley rank

Adrien Deloro , Eric Jaligot This is my paper

classification 🧮 math.GR

keywords circgroupsfinitemorleyrankanaloguesautomorphismsclass

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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.

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Involutive automorphisms of N_circ^circ groups of finite Morley rank

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