Classification of the toroidal groups

DOI10.1002/jgt.3190020312zbMath0416.05046OpenAlexW1604109785MaRDI QIDQ3205267

Viera Krnanova Proulx

Publication date: 1978

Published in: Journal of Graph Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/jgt.3190020312

zbMATH Keywords

presentationCayley graphgeneratorstoroidal groupsgenus of a graphgenus of a group

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (16)

Maximal automorphism groups of symmetric Riemann surfaces with small genus ⋮ The symmetric genus of metacyclic groups ⋮ The Number of Groups of a given Genus ⋮ Nonorientable embeddings of groups ⋮ Groups of small symmetric genus ⋮ On the genus of finite abelian groups ⋮ On the Genus of Symmetric Groups ⋮ Homomorphic images of \(\Delta(2,3,11)\). ⋮ Unnamed Item ⋮ Archimedean maps of higher genera ⋮ Toroidal maps of modular quotient groups ⋮ There is one group of genus two ⋮ Finite groups acting on surfaces and the genus of a group ⋮ A note on Cayley graphs ⋮ A refined Hurwitz theorem for embeddings of irredundant Cayley graphs ⋮ The Cartesian product of three triangles can be embedded into a subspace of genus 7

Cites Work

• Quotients of complete graphs: revisiting the Heawood map-coloring problem
• On the genera of graphs of group presentations

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