Linckelmann, M. (2009).
The orbit space of a fusion system is contractible.
*Proceedings of the London Mathematical Society*, 98(1),
pp. 191-216.
doi: 10.1112/plms/pdn029

## Abstract

Given a fusion system F on a finite p-group P, where p is a prime, we show that the partially ordered set of isomorphism classes in F of chains of non-trivial 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 non-trivial Brauer pairs associated with a p-block by Barker [1].

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/1886 |

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