Serge Bouc

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20242026

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math.RT2026

The $D^{Δ}$ -pair biset category

Robert Boltje, Serge Bouc, Deniz Yılmaz

Let $p$ be a prime number. A $D^{Δ}$ -pair is a pair consisting of a finite $p$ -group and a $p^{'}$ -automorphism of the group. In this paper, we introduce diagonal $D^{Δ}$ -pair bisets and…

math.RT2025

Functorial equivalence classes of $2$ -blocks of tame representation type

Robert Boltje, Serge Bouc, Deniz YÄ±lmaz

For any block of a finite group over an algebraically closed field of characteristic $2$ which has dihedral, semidihedral, or generalized quaternion defect groups, we determine exp…

math.RT2025

On Alperin's conjecture and functorial equivalence of blocks

Robert Boltje, Serge Bouc, Deniz YÄ±lmaz

Let $k$ be an algebraically closed field of positive characteristic $p$ and let $F$ be an algebraically closed field of characteristic 0. We consider Alperin's weight conj…

The DΔ-pair biset category

Functorial equivalence classes of 2-blocks of tame representation type

On Alperin's conjecture and functorial equivalence of blocks

The $D^{Δ}$ -pair biset category

Functorial equivalence classes of $2$ -blocks of tame representation type