# Proper periods of normal N.E.C. subgroups with even index.

Revista Matemática Hispanoamericana (1981)

- Volume: 41, Issue: 5-6, page 121-127
- ISSN: 0373-0999

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topBujalance, Emilio. "Proper periods of normal N.E.C. subgroups with even index.." Revista Matemática Hispanoamericana 41.5-6 (1981): 121-127. <http://eudml.org/doc/39785>.

@article{Bujalance1981,

abstract = {By a non-Euclidean crystallographic (N.E.C.) group we shall mean a discrete subgroup Γ of isometries of the non-Euclidean plane including those reverse orientation, reflections and glide-reflections.In [1] we computed the proper periods of normal N.E.C. subgroups of an N.E.C. group, when the index of the group with respect to the subgroup is odd. In this paper we shall compute the proper period of normal N.E.C. subgroups, when the index is even.The corresponding problem for Fuchsian groups, which contain only orientable transformations, is essentially solved in the work of Maclachan [4].},

author = {Bujalance, Emilio},

journal = {Revista Matemática Hispanoamericana},

keywords = {Grupo cristalográfico no euclídeo; Período propio; discrete non-Euclidean crystallographic group; branched cover; quotient surface; branching order; elliptic elements; periods},

language = {eng},

number = {5-6},

pages = {121-127},

title = {Proper periods of normal N.E.C. subgroups with even index.},

url = {http://eudml.org/doc/39785},

volume = {41},

year = {1981},

}

TY - JOUR

AU - Bujalance, Emilio

TI - Proper periods of normal N.E.C. subgroups with even index.

JO - Revista Matemática Hispanoamericana

PY - 1981

VL - 41

IS - 5-6

SP - 121

EP - 127

AB - By a non-Euclidean crystallographic (N.E.C.) group we shall mean a discrete subgroup Γ of isometries of the non-Euclidean plane including those reverse orientation, reflections and glide-reflections.In [1] we computed the proper periods of normal N.E.C. subgroups of an N.E.C. group, when the index of the group with respect to the subgroup is odd. In this paper we shall compute the proper period of normal N.E.C. subgroups, when the index is even.The corresponding problem for Fuchsian groups, which contain only orientable transformations, is essentially solved in the work of Maclachan [4].

LA - eng

KW - Grupo cristalográfico no euclídeo; Período propio; discrete non-Euclidean crystallographic group; branched cover; quotient surface; branching order; elliptic elements; periods

UR - http://eudml.org/doc/39785

ER -

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