SYMMETRIC CROSSCAP NUMBER OF GROUPS OF ORDER LESS THAN OR EQUAL TO 63

DOI10.1017/S1446788716000604zbMath1422.57047OpenAlexW2561877751MaRDI QIDQ5369420

Adrián Bacelo

Publication date: 17 October 2017

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788716000604

zbMATH Keywords

Riemann surfacesgroup theoryKlein surfaces

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Klein surfaces (30F50) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Group actions on manifolds and cell complexes in low dimensions (57M60)

Cites Work

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• The full group of automorphisms of non-orientable unbordered Klein surfaces of topological genus 3, 4 and 5.
• The real genus of the groups of order 48
• The action of the groups \(D_m \times D_n\) on unbordered Klein surfaces
• Cyclic groups of automorphisms of compact non-orientable Klein surfaces without boundary
• On non-Euclidean crystallographic groups
• Foundations of the theory of Klein surfaces
• The symmetric crosscap number of a group
• The symmetric cross-cap number of the groups C_m × D_n
• THE SYMMETRIC CROSSCAP NUMBER OF THE GROUPS OF SMALL-ORDER
• The Classification of Non-Euclidean Plane Crystallographic Groups
• Automorphisms of compact non-orientable Riemann surfaces

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