Interesting Esoterica

Bad groups in the sense of Cherlin

Article by Olivier Fr├ęcon
  • 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
}