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A remark on the rank conjecture

de Jeu, R.

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Authors

R. de Jeu



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 Mar 29, 2024
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.

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Copyright Statement
Reprinted from K-theory, 25(3), 2002, 215-231 with permission of Kluwer Law International.




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