The cohomology of symmetric groups and the Quillen map at odd primes
https://doi.org/10.1016/j.jpaa.2003.10.037Publisher, magazine: ,
Publication year: 2004
Lưu Trích dẫn Chia sẻAbstract
Gunawardena, Lannes, and Zarati proved that the Quillen homomorphism is an isomorphism for G=Σn at p=2, but fails to be an isomorphism for odd primes. We prove that at odd primes, the restriction of the Quillen map to the subring of elements that are annihilated by all Steenrod operations that involve the Bockstein is an isomorphism for all n.
Tags: None
Các bài viết liên quan đến tác giả Lê Minh Hà
The cohomology of symmetric groups and the Quillen map at odd primes
The Gray filtration on phantom maps
On the Gray index of phantom maps
On the behavior of the algebraic transfer
Strict partitions and discrete dynamical systems
Sub-Hopf algebras of the Steenrod algebra and the Singer transfer
On the May spectral sequence and the algebraic transfer II
On the action of the Iwahori–Hecke algebra on modular invariants