Fusion systems
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Abstract:
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.References
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Additional Information
- Michael Aschbacher
- Affiliation: Department of Mathematics, California Institute of Technology, Pasadena, California 91125
- MR Author ID: 27630
- Email: asch@caltech.edu
- Bob Oliver
- Affiliation: Université Paris 13, Sorbonne Paris Cité, LAGA, UMR 7539 du CNRS, 99, Av. J.-B. Clément, 93430 Villetaneuse, France
- MR Author ID: 191965
- Email: bobol@math.univ-paris13.fr
- Received by editor(s): December 27, 2015
- Published electronically: June 29, 2016
- Additional Notes: 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 - © Copyright 2016 American Mathematical Society
- Journal: Bull. Amer. Math. Soc. 53 (2016), 555-615
- MSC (2010): Primary 20E25; Secondary 20D05, 20D20, 20E45, 20C20, 55R35
- DOI: https://doi.org/10.1090/bull/1538
- MathSciNet review: 3544261