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Fusion systems

Aschbacher, Michael and Oliver, Bob (2016) Fusion systems. Bulletin of the American Mathematical Society, 53 (4). pp. 555-615. ISSN 0273-0979. doi:10.1090/bull/1538.

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This is a survey article on the theory of fusion systems, a relatively new area of mathematics with connections to local finite group theory, algebraic topology, and modular representation theory. We first describe the general theory and then look separately at these connections.

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Additional Information:© 2016 American Mathematical Society. Received by the editors December 27, 2015. Published electronically: June 29, 2016. The first author was partially supported by NSF DMS-1265587 and NSF DMS-0969009. The second author was partially supported by UMR 7539 of the CNRS.
Funding AgencyGrant Number
Centre National de la Recherche Scientifique (CNRS)UMR 7539
Subject Keywords:Fusion, Sylow subgroups, finite simple groups, classifying spaces, modular representation theory
Issue or Number:4
Classification Code:MSC (2010): Primary 20E25; Secondary 20D05, 20D20, 20E45, 20C20, 55R35
Record Number:CaltechAUTHORS:20161116-124215563
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:72057
Deposited By: Tony Diaz
Deposited On:17 Nov 2016 00:22
Last Modified:11 Nov 2021 04:55

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