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Quasithin Groups

Aschbacher, Michael (1998) Quasithin Groups. In: Algebraic Groups and their Representations. NATO ASI Series. No.517. Springer , Dordrecht, pp. 321-340. ISBN 978-0-7923-5292-1.

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The treatment of quasithin groups of characteristic 2 was one of the last steps in the Classification of the finite simple groups. Geoff Mason [12] announced a classification of these groups in about 1980, but never published his work. A few people have a copy of a large manuscript containing his efforts, but because it was distributed slowly, section by section, it was only during the last few years that it was realized that Mason’s manuscript is incomplete in various ways. A few years ago I wrote up a treatment which begins where Mason’s manuscript ends and finishes the problem assuming the results he says he proves. I have only read Mason’s manuscript superficially, but it appears there are missing lemmas even for the part of the problem the theorems in his manuscript cover. I do believe however that he has seriously addressed the issues involved and that he could turn his manuscript into a proof with enough work. However Mason is now involved with Moonshine and has no interest in completing or publishing his manuscript.

Item Type:Book Section
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Additional Information:© 1998 Springer Science+Business Media Dordrecht. This work was partially supported by NSF-9622843.
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Subject Keywords:Finite Group; Simple Group; Borel Subgroup; Cartan Subgroup; Finite Simple Group
Series Name:NATO ASI Series
Issue or Number:517
Record Number:CaltechAUTHORS:20200512-081608756
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:103124
Deposited By: Tony Diaz
Deposited On:12 May 2020 19:05
Last Modified:16 Nov 2021 18:18

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