English

A descent view on Mitchell's theorem

K-Theory and Homology 2020-08-13 v2 Algebraic Topology

Abstract

In this short note, we given a new proof of Mitchell's theorem that LT(n)K(Z)0L_{T\left(n\right)} K(Z) \cong 0 for n2n \geq 2. Instead of reducing the problem to delicate representation theory, we use recently established hyperdescent technology for chromatically-localized algebraic K-theory.

Keywords

Cite

@article{arxiv.2008.02821,
  title  = {A descent view on Mitchell's theorem},
  author = {Elden Elmanto and Denis Nardin and Lucy Yang},
  journal= {arXiv preprint arXiv:2008.02821},
  year   = {2020}
}

Comments

5 pages, proofs further simplified, comments welcomed

R2 v1 2026-06-23T17:41:25.091Z