Linckelmann, M. (2009). The orbit space of a fusion system is contractible. Proceedings of the London Mathematical Society, 98(1), pp. 191216. doi: 10.1112/plms/pdn029

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Abstract
Given a fusion system F on a finite pgroup P, where p is a prime, we show that the partially ordered set of isomorphism classes in F of chains of nontrivial subgroups of P, considered as topological space, is contractible, further generalising Symondsâ€™ proof [19] of a conjecture of Webb [23, 24] and its generalisation to nontrivial Brauer pairs associated with a pblock by Barker [1].
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/1886 
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