Abstract
Conjecturally, for p p an odd prime and R R a certain ring of p p -integers, the stable general linear group G L ( R ) GL(R) and the étale model for its classifying space have isomorphic mod p p cohomology rings. In particular, these two cohomology rings should have the same image with respect to the restriction map to the diagonal subgroup. We show that a strong unstable version of this last property holds for any rank if p p is regular and certain homology classes for S L 2 ( R ) SL_2(R) vanish. We check that this criterion is satisfied for p = 3 p=3 as evidence for the conjecture.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
