## On Suslin's singular homology and cohomology

### Summary

We study properties of Suslin homology and cohomology over non-algebraically closed base fields, and their $p$-part in characteristic $p$. In the second half we focus on finite fields, and consider finite generation questions and connections to tamely ramified class field theory.

### Mathematics Subject Classification

19E15, 14F42, 14G15

### Keywords/Phrases

Suslin homology, motivic homology, algebraic cycles, Albanese map