D. Yılmaz

activity

20172022

collaborators

6 papers

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

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…

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

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