Simple groups of Morley rank 5 are bad

Adrien Deloro; Joshua Wiscons

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arXiv · 1707.02057

Simple groups of Morley rank 5 are bad

Adrien Deloro·Joshua Wiscons

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Abstract

By exploiting the geometry of involutions in $N_\circ^\circ$-groups of finite Morley rank, we show that any simple group of Morley rank $5$ is a bad group all of whose proper definable connected subgroups are nilpotent of rank at most $2$. The main result is then used to catalog the nonsoluble connected groups of Morley rank $5$.

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BibTeX RIS

Adrien Deloro, Joshua Wiscons. 2017-07-07. Simple groups of Morley rank 5 are bad. https://arxiv.org/abs/1707.02057

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