Skip to main content

Quillen's Conjecture

Project description

Study seeks to prove Quillen’s conjecture

Funded by the Marie Skłodowska-Curie Actions programme, the QUILCON project aims to prove the Quillen subgroup-poset conjecture that appeared in 1978. The conjecture states that for a finite group G and a prime number p, if the poset of the non-trivial p-subgroups of G is contractible, then G has a non-trivial normal p-subgroup. To prove this conjecture, the project will use tools from higher category theory and combinatorial homotopy. The conjecture is important for linking finite group theory, algebraic topology and combinatorics.

Call for proposal

See other projects for this call


Norregade 10
1165 Kobenhavn

See on map

Activity type
Higher or Secondary Education Establishments
EU contribution
€ 219 312