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Classification of the Finite Simple Groups

Aschbacher, Michael (1980) Classification of the Finite Simple Groups. Mathematical Intelligencer, 3 (2). pp. 59-65. ISSN 0343-6993. doi:10.1007/bf03022850. https://resolver.caltech.edu/CaltechAUTHORS:20190814-100802612

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Abstract

The classification of the finite simple groups was completed sometime during the summer of 1980. To the extent that I can reconstruct things, the last piece in the puzzle was filled in by Ronald Solomon of Ohio State University. At the other chronological extreme, the theory of finite groups can be traced back to its beginnings in the early nineteenth century in the work of Abel, Cauchy, and Galois. Hence the problem of classifying the finite simple groups has a history of over a century and a half. The proof of the Classification Theorem is made up of thousands of pages in various mathematical journals with at least another thousand pages still left to appear in print. Many mathematicians have contributed to the proof; some have spent their entire mathematical lives working on the problem.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1007/bf03022850DOIArticle
Additional Information:© 1980 Springer Science+Business Media, Inc.
Subject Keywords:Finite Group; Simple Group; Prime Order; Component Type; Chevalley Group
Issue or Number:2
DOI:10.1007/bf03022850
Record Number:CaltechAUTHORS:20190814-100802612
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190814-100802612
Official Citation:Aschbacher, M. The Mathematical Intelligencer (1980) 3: 59. https://doi.org/10.1007/BF03022850
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:97884
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:15 Aug 2019 18:14
Last Modified:16 Nov 2021 17:35

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