Essential algebra of the shifted Burnside biset functor with abelian shift

Olcay Coşkun, Ruslan Muslumov

Let $T$ be a finite group and let $k{B}_T$ denote the shifted Burnside biset functor over a commutative ring $k$. We study the essential algebra $\widehat{k{B}_T}(G)$ of $k{B}_T$ at an a…