The Classification of Non-Euclidean Plane Crystallographic Groups

From MaRDI portal
Publication:5574023

DOI10.4153/CJM-1967-108-5zbMath0183.03402OpenAlexW2078887771MaRDI QIDQ5574023

A. M. Macbeath

Publication date: 1967

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-1967-108-5




Related Items (only showing first 100 items - show all)

Automorphism groups of real algebraic curves of genus 3Densest geodesic ball packings to \({\mathbf S^2 \times \mathbf R}\) space groups generated by screw motionsConvex fundamental regions for N.E.C. groupsAutomorphism groups of compact planar Klein surfacesThe real genus of cyclic by dihedral and dihedral by dihedral groupsThe 14 infinite families of isotoxal tilings in the planes of constant curvatureSpectral and geometric bounds on 2-orbifold diffeomorphism typeOn triangular (D_{n})-actions on cyclic p-gonal Riemann surfacesAutomorphism groups of non-orientable elliptic-hyperelliptic Klein surfaces with boundaryThe symmetric genus of metacyclic groupsOn the topological type of anticonformal square roots of automorphisms of Riemann surfacesOn a Harnack-Natanzon theorem for the family of real forms of Riemann surfacesHomology and orientation reversing periodic maps on surfacesON THE CONNECTEDNESS OF THE BRANCH LOCI OF NON-ORIENTABLE UNBORDERED KLEIN SURFACES OF LOW GENUSMinimal genus problem for pseudo-real Riemann surfacesNonequivalent families of group actions on Riemann surfacesGenerating pairs and group actionsThe full group of automorphisms of non-orientable unbordered Klein surfaces of topological genus 3, 4 and 5.Coverings between compact Klein surfacesOn symmetric representations of groups of automorphism of bordered Klein surfacesOn Riemann surfaces of genus \(g\) with \(4g-4\) automorphismsThe full group of automorphisms of non-orientable unbordered Klein surfaces of topological genus 7Normal subgroups of N.E.C. groupsOn Surfaces of General Type withpg = q = 1 Isogenous to a Product of CurvesGeometrical characterization of \(p\)-hyperelliptic planar Klein surfaces.On automorphisms of Klein surfaces with invariant subsetsUniqueness of orientation-preserving free actions of finite abelian groups on surfacesÜber Erweiterungen von Z und \(Z_ 2*Z_ 2\) durch nichteuklidische kristallographische GruppenCohomology of Fuchsian groups and non-Euclidean crystallographic groupsCharacterising planar Cayley graphs and Cayley complexes in terms of group presentationsOn the one-dimensional family of Riemann surfaces of genus \(q\) with 4\(q\) automorphismsCombinatorial classification of fundamental domains of finite area for planar discontinuous isometry groupsA candidate for the densest packing with equal balls in Thurston geometriesOn \(pq\)-fold regular covers of the projective lineFundamental domains for planar discontinuous groups and uniform tilingsThe Groups of Symmetric Genus σ ≤ 8On real forms of a complex algebraic curveHyperbolic polygons and NEC groupsThe real genus of the groups of order 48Solving the Schrödinger equation of an electron in a periodic crystal potential through elliptic functionsRiemann surfaces of genus \(1+q^2\) with \(3q^2\) automorphismsFinite abelian subgroups of the mapping class groupOn \(q\)-\(n\)-gonal Klein surfacesThe full group of automorphisms of non-orientable unbordered Klein surfaces of topological genus 6On \(pq\)-hyperelliptic Klein surfacesOn Harnack’s theorem and extensions: A geometric proof and applicationsComputing the signatures of subgroups of non-Euclidean crystallographic groupsThe generation and classification of tile-k-transitive tilings of the Euclidean plane, the sphere and the hyperbolic planeExceptional points in the elliptic-hyperelliptic locusInvolutions of compact Klein surfacesTHE 2-GROUPS OF ODD STRONG SYMMETRIC GENUSDouble coverings of non-orientable Riemann surfaces ramified over discrete setsRiemann surfaces with real forms which have maximal cyclic symmetryThe action of the groups \(D_m \times D_n\) on unbordered Klein surfacesSymmetries of Riemann surfaces with large automorphism groupReal genus of minimal nonnilpotent groupsNonorientable automorphisms of Riemann surfacesAlternating groups, Hurwitz groups and \(H^*\)-groups.Quasiconformal extension of quasisymmetric mappings compatible with a Möbius groupOn a subvariety of the moduli spaceAutomorphism groups of the real projective plane with holes and their conjugacy classes within its mapping class groupGeodesic ball packings in \(S^{2} \times R\) space for generalized Coxeter space groupsOn Nilpotent Groups of Automorphisms of Klein SurfacesIsotopic tiling theory for hyperbolic surfacesFinite group actions on bordered surfaces of small genusFoliations of codimension 2 with all leaves compact on closed 3-, 4-, and 5-manifoldsA note on large automorphism groups of compact Riemann surfacesOn automorphism groups of Riemann double covers of Klein surfacesGroups of automorphisms of cyclic trigonal Riemann surfacesReflections of regular maps and Riemann surfacesOn the connectedness of the branch loci of moduli spaces of orientable Klein surfacesTopologically unique maximal elementary Abelian group actions on compact oriented surfacesSimply transitive geodesic ball packings to \(\mathbf{S}^2\times \mathbf{R}\) space groups generated by glide reflectionsAutomorphism groups of symmetric and pseudo-real Riemann surfacesHyperelliptic compact non-orientable Klein surfaces without boundaryOn asymptotic densities and generic properties in finitely generated groupsClassifying finite group actions on surfaces of low genusOn projecting symmetries by unbranched regular coverings of Riemann surfacesOn Singerman symmetries of a class of Belyi Riemann surfacesNormal subgroups of even index in an NEC groupAutomorphism groups of \(q\)-trigonal planar Klein surfaces and maximal surfacesTorsion normal generators of the mapping class group of a nonorientable surfaceOn the equivariant \(K\)- and \(KO\)-homology of some special linear groupsA NEW CHARACTERIZATION OF WIMAN SURFACESTile-transitive tilings of the Euclidean and hyperbolic planes by ribbonsSCHOTTKY UNIFORMIZATIONS OF SYMMETRIESExtensions of finite cyclic group actions on non-orientable surfacesTHE STRONG SYMMETRIC GENUS OF DIRECT PRODUCTSOn the structure of the automorphism group of a compact Klein surface with N boundary components (1\(\leq N\leq 4)\)Cayley mapsFinite groups acting on surfaces and the genus of a groupAutomorphism groups of algebraic curves of \(R^ n\) of genus 2Extensions of finite cyclic group actions on bordered surfacesOn the outer automorphism group of a hyperbolic group\(q\)-trigonal Klein surfacesTHE REAL GENUS OF 2-GROUPSFinite groups acting on bordered surfaces and the real genus of a groupFundamental polygonal groups of non-Euclidean crystallographyThe Symmetric Genus of p-GroupsTopological types of p-hyperelliptic real algebraic curves




This page was built for publication: The Classification of Non-Euclidean Plane Crystallographic Groups