67 citations · 453 across the 47 of their papers we have counts for
7 papers · 1 filter
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…
Computing homological residue fields in algebra and topology
Paul Balmer, James C. Cameron
We determine the homological residue fields, in the sense of tensor-triangular geometry, in a series of concrete examples ranging from topological stable homotopy theory to modular…
Resolutions by permutation modules
Paul Balmer, Dave Benson
We prove that, up to adding a complement, every modular representation of a finite group admits a finite resolution by permutation modules.
Relative stable categories and birationality
Paul Balmer, Greg Stevenson
We propose a general method to construct new triangulated categories, relative stable categories, as additive quotients of a given one. This construction enhances results of Beligi…
Homological support of big objects in tensor-triangulated categories
Paul Balmer
Using homological residue fields, we define supports for big objects in tensor-triangulated categories and prove a tensor-product formula.