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Exotic normal fusion subsystems of general linear groups
Author(s) -
Ruiz Albert
Publication year - 2007
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/jdm051
Subject(s) - sylow theorems , prime (order theory) , fusion , mathematics , prime power , pure mathematics , group (periodic table) , combinatorics , discrete mathematics , finite group , physics , quantum mechanics , linguistics , philosophy
We classify the saturated fusion subsystems of index prime to p of the general linear group over q over a Sylow p ‐subgroup, where q is a prime power prime to an odd prime p . In this classification we obtain some of the exotic p ‐local finite groups discovered by Broto and Møller as saturated fusion subsystems of general linear groups.