On the algebraic classification of subgroups of hyperbolic planar crystallographic groups

DOI10.1090/conm/724/14591zbMath1450.20013OpenAlexW2918143219MaRDI QIDQ5236864

Ismael Cortázar, Antonio F. Costa

Publication date: 16 October 2019

Published in: Algebraic Curves and Their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/724/14591

zbMATH Keywords

subgroupscrystallographic groups

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Other geometric groups, including crystallographic groups (20H15)

Uses Software

• GAP

Cites Work

• Computing the signatures of subgroups of non-Euclidean crystallographic groups
• Automorphism groups of compact bordered Klein surfaces. A combinatorial approach
• Hypermaps on surfaces with boundary
• Symmetries of real cyclic \(p\)-gonal Riemann surfaces
• On non-Euclidean crystallographic groups
• Foundations of the theory of Klein surfaces
• Symmetries of compact Riemann surfaces
• SUBGROUPS OF N.E.C. GROUPS AND FINITE PERMUTATION GROUPS
• Cayley graphs, Cori hypermaps, and dessins d'enfants
• Spaces of Subgroups and Teichmüller Space
• On the connectivity of branch loci of moduli spaces
• REAL BELYI THEORY
• On real trigonal Riemann surfaces
• The Classification of Non-Euclidean Plane Crystallographic Groups
• Subgroups of Fuchsian Groups and Finite Permutation Groups
• Subgroups of NEC groups
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