D. Yılmaz

activity

20242026

collaborators

5 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.RT2025

Alperin's weight conjecture, Galois automorphisms, alternating sums, and functorial equivalences

Xin Huang, Deniz YÄ±lmaz

We show that functorial equivalences can offer new insight into the blockwise Galois Alperin weight conjecture (BGAWC). Inspired by KnÃ¶rr and Robinson's work, we first formulate t…

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

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

Alperin's weight conjecture, Galois automorphisms, alternating sums, and functorial equivalences

Functorial equivalence classes of 2-blocks of tame representation type

On Alperin's conjecture and functorial equivalence of blocks

Diagonal p-permutation functors in characteristic p

The $D^{Δ}$ -pair biset category

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

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