Lyons Taming

• Published in 2023
• Added on 2023-08-14

Based on Kantor's geometry, we give a new Highly symmetric construction of Lyons' sporadic simple group $Ly$ via its minimal representation over $\mathbb F_5^{111}$, thus obtaining elementary existence proofs for both the group and the representation at one stroke.

Links

• http://arxiv.org/abs/2307.11399v1
• http://arxiv.org/pdf/2307.11399v1

Other information

BibTeX entry

@article{LyonsTaming,
	key = {LyonsTaming},
	type = {article},
	title = {Lyons Taming},
	author = {Wolfram Neutsch},
	abstract = {Based on Kantor's geometry, we give a new Highly symmetric construction of
Lyons' sporadic simple group {\$}Ly{\$} via its minimal representation over {\$}\mathbb
F{\_}5^{\{}111{\}}{\$}, thus obtaining elementary existence proofs for both the group and
the representation at one stroke.},
	comment = {},
	date_added = {2023-08-14},
	date_published = {2023-04-30},
	urls = {http://arxiv.org/abs/2307.11399v1,http://arxiv.org/pdf/2307.11399v1},
	collections = {animals,the-groups-group},
	url = {http://arxiv.org/abs/2307.11399v1 http://arxiv.org/pdf/2307.11399v1},
	year = 2023,
	urldate = {2023-08-14},
	archivePrefix = {arXiv},
	eprint = {2307.11399},
	primaryClass = {math.GR}
}