Kessar, R. & Linckelmann, M. (2008). ZJtheorems for fusion systems. Transactions of the American Mathematical Society, 360(6), pp. 30933106. doi: 10.1090/S000299470804275X

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Abstract
For p an odd prime, we generalise the GlaubermanThompson pnilpotency 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 pgroup P then F is controlled by W(P) for any Glauberman functor W, generalising Glauberman’s ZJtheorem [3] to arbitrary fusion systems.
Item Type:  Article 

Subjects:  Q Science > QA Mathematics 
Divisions:  School of Engineering & Mathematical Sciences > Department of Mathematical Science 
URI:  http://openaccess.city.ac.uk/id/eprint/1889 
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