14/09/07 09:28:44.91
>>280 つづき
どうもです スレ主です。
>これは時期尚早だった、というのはいくつかのギャップが、特に準薄群（英語版）の分類野中で発見されたからである。
>このギャップは2004年に1300ページに及ぶ準薄群の分類によって埋められており、これは現在は完璧であると一般に受け入れられている。
えーと、これだね
URLﾘﾝｸ(en.wikipedia.org)
Classification
The classification of quasithin groups is a crucial part of the classification of finite simple groups.
The quasithin groups were classified in a 1221 page paper by Aschbacher and Smith (2004, 2004b).
An earlier announcement by Mason (1980) of the classification,
on which basis the classification of finite simple groups was announced as finished in 1983,
was premature as the unpublished manuscript (Mason 1981) of his work was incomplete and contained serious gaps.
References
・Aschbacher, Michael; Smith, Stephen D. (2004),
The classification of quasithin groups. I Structure of Strongly Quasithin K-groups, Mathematical Surveys and Monographs 111, Providence, R.I.: American Mathematical Society, ISBN 978-0-8218-3410-7, MR 2097623
・Aschbacher, Michael; Smith, Stephen D. (2004b),
The classification of quasithin groups. II Main theorems: the classification of simple QTKE-groups., Mathematical Surveys and Monographs 112, Providence, R.I.: American Mathematical Society, ISBN 978-0-8218-3411-4, MR 2097624
・Mason, G. (1980), "Quasithin groups", in Collins, Michael J., Finite simple groups. II, London: Academic Press Inc. [Harcourt Brace Jovanovich Publishers], pp. 181–197, ISBN 978-0-12-181480-9, MR 606048
・Mason, G. (1981), The classification of finite quasithin groups, U. California Santa Cruz, p. 800 (unpublished typescript)
・Solomon, R. (2006), "Review of The classification of quasithin groups. I, II by Aschbacher and Smith", Bull. Amer. Math. Soc. 43: 115–121, doi:10.1090/s0273-0979-05-01071-2