A remark on the rank conjecture

de Jeu, R.

Abstract

We prove a result about the action of -operations on the homology of linear groups. We use this to give a sharper formulation of the rank conjecture as well as some shorter proofs of various known results. We formulate a conjecture about how the sharper formulation of the rank conjecture together with another conjecture could give rise to a different point of view on the isomorphism between and K_n^{(p)} (F)$ for an infinite field F, and we prove part of this new conjecture.

Citation

de Jeu, R. (2002). A remark on the rank conjecture. K-Theory, 25(3), 215-231. https://doi.org/10.1023/a%3A1015656301533

• Journal Article Type: Article
• Publication Date: Mar 1, 2002
• Deposit Date: Apr 24, 2007
• Publicly Available Date: Oct 14, 2016
• Journal: K-Theory
• Print ISSN: 0920-3036
• Electronic ISSN: 1573-0514
• Publisher: Springer
• Peer Reviewed: Peer Reviewed
• Volume: 25
• Issue: 3
• Pages: 215-231
• DOI: https://doi.org/10.1023/a%3A1015656301533
• Keywords: Homology, General linear group, Rank conjecture, Higher chow groups, Linear higher chow groups.
• Public URL: https://durham-repository.worktribe.com/output/1622460