Sam K. Miller

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20232026

most citedEndotrivial complexes

4 citations · 7 across the 8 of their papers we have counts for

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math.RT2024

On endosplit $p$ -permutation resolutions and Broué's conjecture for $p$ -solvable groups

Sam K. Miller

Endosplit $p$ -permutation resolutions play an instrumental role in verifying Broué's abelian defect group conjecture in numerous cases. We give a new characterization of all endosp…

math.GR2024★ 1 cited

The classification of endotrivial complexes

Sam K. Miller

Let $G$ be a finite group and $k$ a field of prime characteristic $p$ . We give a complete classification of endotrivial complexes, i.e. determine the Picard group $\mathcal{E}_k(G)…

math.GR2024★ 2 cited

Relatively endotrivial complexes

Sam K. Miller

Let $G$ be a finite group and $k$ be a field of characteristic $p > 0$ . In prior work, we studied endotrivial complexes, the invertible objects of the bounded homotopy category $K^…

On endosplit p-permutation resolutions and Broué's conjecture for p-solvable groups

The classification of endotrivial complexes

Relatively endotrivial complexes

On endosplit $p$ -permutation resolutions and Broué's conjecture for $p$ -solvable groups