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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Other information

key
BadgroupsinthesenseofCherlin
type
article
date_added
2016-08-02
date_published
2016-05-24

BibTeX entry

@article{BadgroupsinthesenseofCherlin,
	key = {BadgroupsinthesenseofCherlin},
	type = {article},
	title = {Bad groups in the sense of Cherlin},
	author = {Olivier Fr{\'{e}}con},
	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 = {},
	date_added = {2016-08-02},
	date_published = {2016-05-24},
	urls = {http://arxiv.org/abs/1607.02994v1,http://arxiv.org/pdf/1607.02994v1},
	collections = {Attention-grabbing titles,The groups group},
	url = {http://arxiv.org/abs/1607.02994v1 http://arxiv.org/pdf/1607.02994v1},
	urldate = {2016-08-02},
	year = 2016
}