Serge Bouc

activity

20242026

collaborators

6 papers

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.GR2026

On the separability of some Green biset functors

Serge Bouc, Nadia Romero

We show that the Green biset functor $R_{C}$ of complex characters over $Z$ , is not separable, i.e. it is not projective as a bimodule over itself. Also, we show…

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…

math.GR2024

The diagonal $p$ -permutation functor $k R_{k}$

Serge Bouc

Let $k$ be an algebraically closed field of positive characteristic $p$ . We describe the full lattice of subfunctors of the diagonal $p$ -permutation functor $k R_{k}$ obtained by $k$ -…

math.GR2024

Diagonal $p$ -permutation functors in characteristic $p$

Serge Bouc, Deniz YÄ±lmaz

Let $p$ be a prime number. We consider diagonal $p$ -permutation functors over a (commutative, unital) ring $R$ in which all prime numbers different from $p$ are invertible…

The DΔ-pair biset category

On the separability of some Green biset functors

Functorial equivalence classes of 2-blocks of tame representation type

On Alperin's conjecture and functorial equivalence of blocks

The diagonal p-permutation functor kRk​

Diagonal p-permutation functors in characteristic p

The $D^{Δ}$ -pair biset category

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

The diagonal $p$ -permutation functor $k R_{k}$

Diagonal $p$ -permutation functors in characteristic $p$