Kevin P. Knudson

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19982005

most citedThe homology of invariant group chains

1 citations · 1 across the 6 of their papers we have counts for

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math.AT2004

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…

math.AT2004

Representations of braid groups via conjugation actions on congruence subgroups

Kevin P. Knudson

We construct two families of representations of the braid group $B_{n}$ by considering conjugation actions on congruence subgroups of $G L_{n - 1} (Z [t^{\pm 1}, q^{\pm 1}])$ . We show that…

math.AT2003★ 1 cited

The homology of invariant group chains

Kevin P. Knudson

If $Q$ is a group acting as a group of automorphisms of another group $G$ (with finite orbits), denote by $C_{*} (G)^{Q}$ the subcomplex of $Q$ -invariant chains in the bar complex $C_*(…