# Bad groups in the sense of Cherlin

- Published in 2016
- Added on

There exists no bad group (in the sense of Gregory Cherlin), namely any simple group of Morley rank 3 is isomorphic to $\mathrm{PSL_2}(K)$ for an algebraically closed field $K$.

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### BibTeX entry

@article{BadgroupsinthesenseofCherlin, title = {Bad groups in the sense of Cherlin}, author = {Olivier Fr{\'{e}}con}, url = {http://arxiv.org/abs/1607.02994v1 http://arxiv.org/pdf/1607.02994v1}, urldate = {2016-08-02}, abstract = {There exists no bad group (in the sense of Gregory Cherlin), namely any simple group of Morley rank 3 is isomorphic to {\$}\mathrm{\{}PSL{\_}2{\}}(K){\$} for an algebraically closed field {\$}K{\$}.}, comment = {}, year = 2016 }