Group Theory

Download E-books Fusion Systems in Algebra and Topology (London Mathematical Society Lecture Note Series, Vol. 391) PDF

By Michael Aschbacher

A fusion approach over a p-group S is a class whose items shape the set of all subgroups of S, whose morphisms are yes injective team homomorphisms, and which satisfies axioms first formulated through Puig which are modelled on conjugacy family members in finite teams. The definition used to be initially encouraged by way of illustration idea, yet fusion structures even have functions to neighborhood team idea and to homotopy thought. the relationship with homotopy conception arises via classifying areas that are linked to fusion platforms and that have a number of the great houses of p-completed classifying areas of finite teams. starting with a close exposition of the foundational fabric, the authors then continue to debate the function of fusion platforms in neighborhood finite staff concept, homotopy idea and modular illustration conception. The e-book serves as a uncomplicated reference and as an creation to the sector, relatively for college kids and different younger mathematicians.

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