Serge Bouc

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20242026

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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.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…

On the separability of some Green biset functors

The diagonal p-permutation functor kRk​

Diagonal p-permutation functors in characteristic p

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

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