Kessar, R. and Linckelmann, M. (2008).
ZJ-theorems for fusion systems.
*Transactions of the American Mathematical Society*, 360(6),
pp. 3093-3106.
doi: 10.1090/S0002-9947-08-04275-X

## 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 |
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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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