D. Yılmaz

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20172022

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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.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…

Fusion systems of blocks of finite groups over arbitrary fields

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

Fibered p-biset functor structure of the fibered Burnside rings

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

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