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The 2‐fusion system of the Monster.

Authors :
Aschbacher, Michael
Source :
Proceedings of the London Mathematical Society; Aug2023, Vol. 127 Issue 2, p487-511, 25p
Publication Year :
2023

Abstract

This paper is part of an effort to determine a certain class of simple 2‐fusion systems, and to use that result to simplify the proof of the classification of the finite simple groups. The main theorem proves that the 2‐fusion system of the Monster is the unique simple system with a fully centralized involution whose centralizer is the fusion system of the universal covering group of the Baby Monster. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
FINITE simple groups

Details

Language :
English
ISSN :
00246115
Volume :
127
Issue :
2
Database :
Complementary Index
Journal :
Proceedings of the London Mathematical Society
Publication Type :
Academic Journal
Accession number :
169773214
Full Text :
https://doi.org/10.1112/plms.12549