Gabriela Guzmán edited Description/K-theorydescription.tex  over 8 years ago

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If $F$ is an algebraically closed field, then for $n\geq1$, $K_n(F)$ is divisible and the torsion subgroup in $K_n(F)=0$ if $n$ is even and isomorphic to $\coprod_{l\neq char F}\mathbb{Q}_l/Z_{l}(n)$ if $n$ is odd.   \end{theo}   For the case when $F$ is the algebraic closure of a finite field. We sill study the $K $K$  theory for finite fields following the work of Quillen. Also it will be interesting has a discusion around the Borel's theorem on the calculation of$  \end{document}