Olcay Cocskun

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math.RT2025

$p$ -Bifree biset functors

Olcay Coşkun, Deniz Yılmaz

We introduce and study the category of $p$ -bifree biset functors for a fixed prime $p$ , defined via bisets whose left and right stabilizers are $p^{'}$ -groups. This category naturally…

math.RT2025

A Categorical Decomposition of $C^{\times}$ -fibered $p$ -biset Functors

Olcay Coşkun, Ruslan Muslumov

We generalize Bouc's construction of orthogonal idempotents in the double Burnside algebra to the setting of the double $C^{\times}$ -fibered Burnside algebra. This yields a…

math.RT2025

$p$ -Biset Functor of Monomial Burnside Rings

İbrahim Kaan Aslan, Olcay Coşkun

We investigate the structure of the monomial Burnside biset functor over a field of characteristic zero, with particular focus on its restriction kernels. For each finite $ p $-g…

math.RT2021

Simple Section Biset Functors

Olcay Coşkun, Ruslan Muslumov

We classify simple modules over the Green biset functor of section Burnside rings.

p-Bifree biset functors

A Categorical Decomposition of C×-fibered p-biset Functors

p-Biset Functor of Monomial Burnside Rings

Simple Section Biset Functors

$p$ -Bifree biset functors

A Categorical Decomposition of $C^{\times}$ -fibered $p$ -biset Functors

$p$ -Biset Functor of Monomial Burnside Rings