D. Yılmaz

activity

20172026

most citedFusion systems of blocks of finite groups over arbitrary fields

1 citations · 1 across the 14 of their papers we have counts for

collaborators

16 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 Yılmaz

We show that functorial equivalences can offer new insight into the blockwise Galois Alperin weight conjecture (BGAWC). Inspired by Knörr and Robinson's work, we first formulate th…

math.RT2025

Functorial equivalence classes of $2$ -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 $2$ 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 Yılmaz

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 Yılmaz

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…

math.GR2024

A note on blocks of finite groups with TI Sylow $p$ -subgroups

Deniz Yılmaz

Let $F$ be an algebraically closed field of characteristic zero. Recently, we proved that isotypic blocks are functorially equivalent over $F$ . In this article we…

math.GR2023

On functorial equivalence classes of blocks of finite groups

Deniz Yılmaz

Let $k$ be an algebraically closed field of characteristic $p > 0$ and let $F$ be an algebraically closed field of characteristic $0$ . Recently, together with Bouc, we intro…

math.GR2023

The group of splendid Morita equivalences of principal $2$ -blocks with dihedral and generalised quaternion defect groups

Çisil Karagüzel, Deniz Yılmaz

Let $k$ be an algebraically closed field of characteristic $2$ , let $G$ be a finite group and let $B$ be the principal $2$ -block of $k G$ with a dihedral or a generalised quaternion…

math.GR2023

Stable functorial equivalence of blocks

Serge Bouc, Deniz Yılmaz

Let $k$ be an algebraically closed field of characteristic $p > 0$ , let $R$ be a commutative ring and let $F$ be an algebraically closed field of characteristic $0$ . We int…

math.RT2022

Isotypic blocks are functorially equivalent

Deniz Yılmaz

Let $F$ be an algebraically closed field of characteristic zero. In this article we show that isotypic blocks of finite groups are functorially equivalent over $\mathbb{F}…

math.GR2022

Diagonal $p$ -permutation functors, semisimplicity, and functorial equivalence of blocks

Serge Bouc, Deniz Yılmaz

Let $k$ be an algebraically closed field of characteristic $p > 0$ , let $R$ be a commutative ring, and let $F$ be an algebraically closed field of characteristic 0. We consi…

math.GR2021

Galois descent of equivalences between blocks of $p$ -nilpotent groups

Robert Boltje, Deniz Yılmaz

We give sufficient conditions on $p$ -blocks of $p$ -nilpotent groups over $F_{p}$ to be splendidly Rickard equivalent and $p$ -permutation equivalent to their Brauer correspon…

math.RT2019★ 1 cited

Fusion systems of blocks of finite groups over arbitrary fields

Robert Boltje, Çisil Karagüzel, Deniz Yılmaz

To any block idempotent $b$ of a group algebra $k G$ of a finite group $G$ over a field $k$ of characteristic $p > 0$ , Puig associated a fusion system and proved that it is saturated…

math.RT2019

The $A$ -fibered Burnside ring as $A$ -fibered biset functor in characteristic zero

Robert Boltje, Deniz Yılmaz

Let $A$ be an abelian group such that $Hom (G, A)$ is finite for all finite groups $G$ , and let $K$ be a field of characteristic zero containing roots of unity of a…

math.GR2019

Diagonal $p$ -permutation functors

Serge Bouc, Deniz Yılmaz

Let $k$ be an algebraically closed field of positive characteristic $p$ , and $F$ be an algebraically closed field of characteristic 0. We consider the $F$ -linear…

math.RT2017

Fibered $p$ -biset functor structure of the fibered Burnside rings

Olcay Coşkun, Deniz Yılmaz

We determine the composition factors of the $A$ -fibered Burnside functor $k B^{A}$ for $p$ -groups over a field $k$ of characteristic $q$ with $q \neq = p$ and cyclic fiber group $A$ . We…

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

A note on blocks of finite groups with TI Sylow p-subgroups

On functorial equivalence classes of blocks of finite groups

The group of splendid Morita equivalences of principal 2-blocks with dihedral and generalised quaternion defect groups

Stable functorial equivalence of blocks

Isotypic blocks are functorially equivalent

Diagonal p-permutation functors, semisimplicity, and functorial equivalence of blocks

Galois descent of equivalences between blocks of p-nilpotent groups

Fusion systems of blocks of finite groups over arbitrary fields

The A-fibered Burnside ring as A-fibered biset functor in characteristic zero

Diagonal p-permutation functors

Fibered p-biset functor structure of the fibered Burnside rings

The $D^{Δ}$ -pair biset category

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

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

A note on blocks of finite groups with TI Sylow $p$ -subgroups

The group of splendid Morita equivalences of principal $2$ -blocks with dihedral and generalised quaternion defect groups

Diagonal $p$ -permutation functors, semisimplicity, and functorial equivalence of blocks

Galois descent of equivalences between blocks of $p$ -nilpotent groups

The $A$ -fibered Burnside ring as $A$ -fibered biset functor in characteristic zero

Diagonal $p$ -permutation functors

Fibered $p$ -biset functor structure of the fibered Burnside rings