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.
© 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.
Published - S0273-0979-2016-01538-2.pdf