There is one group of genus two

DOI10.1016/0095-8956(84)90032-7zbMath0537.05022OpenAlexW2034691552MaRDI QIDQ792331

Thomas W. Tucker

Publication date: 1984

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0095-8956(84)90032-7

zbMATH Keywords

Cayley graphgenus of a finite group

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items

Topological Graph Theory: A Personal Account, Nonorientable embeddings of groups, Groups of small symmetric genus, Unnamed Item, Interview with Tomaž Pisanski, The Groups of Symmetric Genus σ ≤ 8, The groups of real genus \(\rho\leq 16\)., A refined Hurwitz theorem for embeddings of irredundant Cayley graphs

Cites Work

• A refined Hurwitz theorem for embeddings of irredundant Cayley graphs
• Finite groups acting on surfaces and the genus of a group
• Classification of the toroidal groups
• On proulx's four exceptional toroidal groups
• The Number of Groups of a given Genus
• Cayley Diagrams on the Anchor Ring
• On the Genus of a Group
• Unnamed Item
• Unnamed Item
• Unnamed Item