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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

H2020-MSCA-IF-2020
See other projects for this call

Coordinator

KOBENHAVNS UNIVERSITET
Address
Norregade 10
1165 Kobenhavn
Denmark

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