Quotients of polynomial rings and regular t-balanced Cayley maps on abelian groups

Haimiao Chen

Given a finite group $\Gamma$, a regular $t$-balanced Cayley map (RBCM${}_t$ for short) is a regular Cayley map $\mathcal{CM}(G,\Omega ,\rho )$ such that $\rho (\omega {)}^{-1}={\rho }^t(\omega )$ for all $\omega \in \Omega$. In…