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arXiv · 0801.3957

A generation theorem for groups of finite Morley rank

Jeffrey Burdges·Gregory Cherlin
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Abstract

We deal with two forms of the "uniqueness cases" in the classification of large simple $K^*$-groups of finite Morley rank of odd type, where large means the $m_2(G)$ at least three. This substantially extends results known for even larger groups having \Prufer 2-rank at least three, to cover the two groups $\PSp_4$ and $\G_2$. With an eye towards distant developments, we carry out this analysis for $L^*$-groups which is substantially broader than the $K^*$ setting.

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Jeffrey Burdges, Gregory Cherlin. 2008-11-07. A generation theorem for groups of finite Morley rank. https://arxiv.org/abs/0801.3957

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