6 papers
The -pair biset category
Robert Boltje, Serge Bouc, Deniz Yılmaz
Let be a prime number. A -pair is a pair consisting of a finite -group and a -automorphism of the group. In this paper, we introduce diagonal -pair bisets and…
Fixed points of extended tensor products
Robert Boltje, John Revere McHugh
For a -permutation equivalence between two block algebras of finite groups, we introduce new square diagrams that link the -permutation equivalence via the Brauer constructio…
Feit's conjecture, the canonical Brauer induction formula, and Adams operations
Robert Boltje, Gabriel Navarro
This paper is motivated by a strong version of Feit's conjecture, first formulated by the authors in joint work with A. Kleshchev and P. H. Tiep in 2025, concerning the conductor $…
Functorial equivalence classes of -blocks of tame representation type
Robert Boltje, Serge Bouc, Deniz Yılmaz
For any block of a finite group over an algebraically closed field of characteristic which has dihedral, semidihedral, or generalized quaternion defect groups, we determine exp…
On Alperin's conjecture and functorial equivalence of blocks
Robert Boltje, Serge Bouc, Deniz Yılmaz
Let be an algebraically closed field of positive characteristic and let be an algebraically closed field of characteristic 0. We consider Alperin's weight conj…
A reduction theorem for the Feit conjecture
Robert Boltje, Alexander Kleshchev, Gabriel Navarro +1
We prove that if all the simple groups involved in a finite group satisfy the `inductive Feit condition', then Walter Feit's conjecture from 1980 holds for . In particular,…