1 citations · 1 across the 6 of their papers we have counts for
11 papers
Relative completions and of curves
Kevin P. Knudson
We compute the completion of the special linear group over the coordinate ring of a curve over a number field relative to its representation in $\slnk$, and relate this to the…
Invariant chains and the homology of quotient spaces
Kevin P. Knudson
For a finite group G and a finite G-CW-complex X, we construct groups H_\bullet(G,X) as the homology groups of the G-invariants of the cellular chain complex C_\bullet(X). These gr…
On the kernel of the Gassner representation
Kevin P. Knudson
We study the Gassner representation of the pure braid group by considering its restriction to a free subgroup . The kernel of the restriction is shown to lie in the subgro…
Representations of braid groups via conjugation actions on congruence subgroups
Kevin P. Knudson
We construct two families of representations of the braid group by considering conjugation actions on congruence subgroups of . We show that…
Homology of linear groups via cycles in
Kevin P. Knudson, Mark E. Walker
Let G be an algebraic group and let X be a smooth integral scheme over a field k. In this paper we construct homology-type groups by considering cycles in the simplicial…
The homology of invariant group chains
Kevin P. Knudson
If is a group acting as a group of automorphisms of another group (with finite orbits), denote by the subcomplex of -invariant chains in the bar complex $C_*(…