Regular Maps from Voltage Assignments and Exponent Groups
نویسندگان
چکیده
منابع مشابه
Composition of regular coverings of graphs and voltage assignments
Consider a composition of two regular coverings π1 : Γ0 → Γ1 and π2 : Γ1 → Γ2 of graphs, given by voltage assignments α1, α2 on Γ1, Γ2 in groups G1 and G2, respectively. In the case when π2 ◦ π1 is regular we present an explicit voltage assignment description of the composition in terms of G1, G2, α1, α2, and walks in Γ1.
متن کاملRegular Cayley maps for finite abelian groups
A regular Cayley map for a finite group A is an orientable map whose orientation-preserving automorphism group G acts regularly on the directed edge set and has a subgroup isomorphic to A that acts regularly on the vertex set. This paper considers the problem of determining which abelian groups have regular Cayley maps. The analysis is purely algebraic, involving the structure of the canonical ...
متن کاملRegular maps with nilpotent automorphism groups
According to a folklore result, every regular map on an orientable surface with abelian automorphism group belongs to one of three infinite families of maps with one or two vertices. Here we deal with regular maps whose automorphism group is nilpotent. We show that each such map decomposes into a direct product of two maps H×K, where Aut(H) is a 2-group and K is a map with a single vertex and a...
متن کاملRegular Surfaces and Regular Maps
A regular surface is a closed genus g surface defined as the tubular neighbourhood of the edge graph of a regular map. A regular map is a family of disc type polygons glued together to form a 2-manifold which is flag transitive. The visualization of this highly symmetric surface is an intriguing and challenging problem. Unlike regular maps, regular surfaces can always be visualized as 3D embedd...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: European Journal of Combinatorics
سال: 1997
ISSN: 0195-6698
DOI: 10.1006/eujc.1996.0138