Highly symmetric maps on surfaces with boundary

DOI10.1007/s10958-017-3553-7zbMath1395.57004OpenAlexW2756279969MaRDI QIDQ1687947

Gareth A. Jones

Publication date: 4 January 2018

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-017-3553-7

zbMATH Keywords

flag-transitiveregular mapsurface with boundaryarc-transitive

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Planar graphs; geometric and topological aspects of graph theory (05C10) Relations of low-dimensional topology with graph theory (57M15) Group actions on manifolds and cell complexes in low dimensions (57M60) Group actions on combinatorial structures (05E18)

Cites Work

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• Regular maps and hypermaps of Euler characteristic \(-1\) to \(-200\)
• Hypermaps versus bipartite maps
• Generation of classical groups
• Graphs on surfaces and their applications. Appendix by Don B. Zagier
• Regular maps whose groups do not act faithfully on vertices, edges, or faces
• Operations on maps, and outer automorphisms
• Realizing finite edge-transitive orientable maps
• FOUNDATIONS OF THE THEORY OF MAPS ON SURFACES WITH BOUNDARY
• Locally finite, planar, edge-transitive graphs
• REAL BELYI THEORY
• Some Remarks on Infinite Groups

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