### Abstract

This is an outline of Quillen’s proof for the calculation of K-theory of finite fields, originally done by Quillen in [1], see also [2] for a slightly different presentations with more background materials included.

Here are the full post:

### References

[1] Quillen, Daniel. “On the cohomology and K-theory of the general linear groups over a finite field.” *Annals of Mathematics* 96.3 (1972): 552-586.

[2] Mitchell, S. Notes on K theory of nite elds. Available online:

https://sites.math.northwestern.edu/ jnkf/Mitchell-niteeldsKtheory.pdf