Resumen de Regular t-balanced Cayley maps

Marston D. E. Conder, Robert Jajcay, Tom Tucker

• The concept of a t-balanced Cayley map is a natural generalization of the previously studied notions of balanced and anti-balanced Cayley maps (the terms coined by [J. ¿irán, M. ¿koviera, Groups with sign structure and their antiautomorphisms, Discrete Math. 108 (1992) 189¿202. [12]]). We develop a general theory of t-balanced Cayley maps based on the use of skew-morphisms of groups [R. Jajcay, J. ¿irán, Skew-morphisms of regular Cayley maps, Discrete Math. 244 (1¿3) (2002) 167¿179], and apply our results to the specific case of regular Cayley maps of abelian groups.