19 citations · 73 across the 19 of their papers we have counts for
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Permutation, stabilization and decomposition
Paul Balmer, Martin Gallauer
Informed by our understanding of the tt-geometry of permutation modules, we investigate the proper definition of the `stable permutation category' of a finite group. Then we prove…
The geometry of permutation modules
Paul Balmer, Martin Gallauer
We consider the derived category of permutation modules for a finite group, in positive characteristic. We stratify this tensor triangulated category using Brauer quotients. We des…
The tt-geometry of permutation modules. Part I: Stratification
Paul Balmer, Martin Gallauer
We consider the derived category of permutation modules over a finite group, in positive characteristic. We stratify this tensor triangulated category using Brauer quotients. We de…
Permutation modules, Mackey functors, and Artin motives
Paul Balmer, Martin Gallauer
We explain in detail the connections between the three concepts in the title, and we discuss how the `big' derived category of permutation modules introduced in arXiv:2009.14093 fi…
Permutation modules and cohomological singularity
Paul Balmer, Martin Gallauer
We define a new invariant of finitely generated representations of a finite group, with coefficients in a commutative noetherian ring. This invariant uses group cohomology and take…
Finite permutation resolutions
Paul Balmer, Martin Gallauer
We prove that every finite dimensional representation of a finite group over a field of characteristic p admits a finite resolution by p-permutation modules. The proof involves a r…