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On Contractibility of the Orbit Space of aG-Poset of Brauer Pairs

✍ Scribed by Laurence Barker

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
67 KB
Volume
212
Category
Article
ISSN
0021-8693

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✦ Synopsis

Given a p-block b of a finite group G, we show that the G-poset of Brauer pairs Ε½ . strictly containing 1, b has contractible G-orbit space. A similar result is proved for certain G-posets of p-subgroups. Both results generalise P. Symonds' verification of a conjecture of P. Webb.

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