A Hierarchical Classification System of Groups and some related conjectures

Rudradip Biswas (The University of Manchester)


I will talk about a hierarchical geometric system of classifying groups into different classes. I shall detail what properties groups belonging to these different classes might satisfy and why their satisfying of such properties is consequential in certain wider contexts. I shall end with saying why this classifying system seems efficient in judging what groups can be good candidates for a certain 'stable module category' theory that I wish to cultivate.

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