The orbit space of a fusion system is contractible

Markus Linckelmann

Research output: Contribution to journalArticle

6 Citations (Scopus)

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 Symonds’, proof [Comment. Math. Helvet. 73 (1998) 400–405] of a conjecture of Webb [Comment. Math. Helvet. 66 (1991) 34–69; Arcata Conference on Representations of Finite Groups, part I, Proceedings of Symposia in Pure Mathematics 47 349–365] and its generalisation to non-trivial Brauer pairs associated with a p-block by Barker [J. Algebra 212 (1999) 460–465].
Original languageEnglish
Pages (from-to)191-216
Number of pages26
JournalJournal of the London Mathematical Society
Volume98
Issue number1
Early online date13 Jun 2008
DOIs
Publication statusPublished - Jan 2009

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Pure mathematics
Orbit Space
Finite P-group
Isomorphism Classes
Partially Ordered Set
Topological space
Fusion
Finite Group
Subgroup
Algebra
Generalization

Cite this

The orbit space of a fusion system is contractible. / Linckelmann, Markus.

In: Journal of the London Mathematical Society, Vol. 98, No. 1, 01.2009, p. 191-216.

Research output: Contribution to journalArticle

Linckelmann, Markus. / The orbit space of a fusion system is contractible. In: Journal of the London Mathematical Society. 2009 ; Vol. 98, No. 1. pp. 191-216.
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