Augmentation Quotients for Burnside Rings of some Finite $p$-Groups

Shan Chang

Let $G$ be a finite group, $\Omega (G)$ be its Burnside ring, and $\Delta (G)$ its augmentation ideal. Denote by ${\Delta }^n(G)$ and $Q_n(G)$ the $n$-th power of $\Delta (G)$ and the $n$-th consecutive quo…