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Finite Simple Groups and Fusion Systems

Published online by Cambridge University Press:  15 April 2019

By
Michael Aschbacher
Edited by
C. M. Campbell ,
C. W. Parker ,
M. R. Quick ,
E. F. Robertson  and
C. M. Roney-Dougal
C. M. Campbell
Affiliation:
University of St Andrews, Scotland
C. W. Parker
Affiliation:
University of Birmingham
M. R. Quick
Affiliation:
University of St Andrews, Scotland
E. F. Robertson
Affiliation:
University of St Andrews, Scotland
C. M. Roney-Dougal
Affiliation:
University of St Andrews, Scotland
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Summary

We’ll begin with an introduction to the basic theory of fusion systems. Then we give an overview of the proof of that part of the CFSG devoted to the groups of component type, after which we discuss how to translate that proof into the category of 2-fusion systems, and indicate some advantages that accrue from that translation. We also describe some other changes to the original proof of the CFSG that are part of the program.

Type
Chapter
Information
Groups St Andrews 2017 in Birmingham , pp. 1 - 15
Publisher: Cambridge University Press
Print publication year: 2019

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References

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