Fusion Systems for Profinite Groups

Abstract

We introduce the notion of a pro-fusion system on a pro-p group, which generalizes the notion of a fusion system on a finite p-group. We also prove a version of Alperin's Fusion Theorem for pro-fusion systems.

23 pages

References in corpus (1)

• Control of Fusion and Solubility in Fusion Systems

Cited by in corpus (2)

• Assigning a classifying space to a fusion system up to F-isomorphism
• Cohomology of profinite groups of bounded rank