Abstract

For p an odd prime, we generalise the Glauberman-Thompson p-nilpotency theorem [5, Ch. 8, Theorem 3.1] to arbitrary fusion systems. We define a notion of Qd(p)- free fusion systems and show that if F is a Qd(p)-free fusion system on some finite p-group P then F is controlled by W(P) for any Glauberman functor W, generalising Glauberman’s ZJ-theorem [3] to arbitrary fusion systems.

Publication Type:	Article
Subjects:	Q Science > QA Mathematics
Departments:	School of Mathematics, Computer Science & Engineering > Mathematics
URI:	http://openaccess.city.ac.uk/id/eprint/1889

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