Locally grouped spaces

Andrew Chermak
There is an analogy between the locally ringed spaces of algebraic geometry and the objects (variously known as localities or linking systems) that provide "classifying spaces" for fusion systems. We shall develop this analogy, and pose some questions regarding the sorts of groups (finite groups at least, then "finite-dimensional" groups, and then what) that can serve as the analogs of affine schemes. There will be an application to a problem raised by Aschbacher at the...
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