1 research outputs found
Quotients of polynomial rings and regular t-balanced Cayley maps on abelian groups
Given a finite group , a regular -balanced Cayley map (RBCM
for short) is a regular Cayley map such that
for all .
In this paper, we clarify a connection between quotients of polynomial rings
and RBCM's on abelian groups, so as to propose a new approach for
classifying RBCM's. We obtain many new results, in particular, a complete
classification for RBCM's on abelian 2-groups.Comment: The previous version of this paper is entitled "A new approach to
regular balanced Cayley maps on abelian -groups