CORDIS Project
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This project aims to prove the Quillen subgroup-poset conjecture, which connects finite group theory, algebraic topology, and combinatorics. By employing advanced categorical methods and tools from higher category theory, the research seeks to establish a deeper understanding of the structure of finite groups through t…
Quillen's Conjecture The ultimate goal of this project it to prove the Quillen subgroup-poset conjecture, open since 1978.
The conjecture is easy to state: for G a finite group and p a prime number, if the poset of non-trivial p-subgroups of G is contractible, then G has a non-trivial normal p-subgroup.
The novel approach of this proposal is to prove Quillen's conjecture by dealing with it in a more abstract categorical setting of certain cartesian fibrations of 2-categories over the 2-category…
KOBENHAVNS UNIVERSITET
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