Metabelian groups acting on compact Riemann surfaces.

G. Gromadzki

Revista Matemática de la Universidad Complutense de Madrid (1995)

  • Volume: 8, Issue: 2, page 293-305
  • ISSN: 1139-1138

Abstract

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A metabelian group G acting as automorphism group on a compact Riemann surface of genus g ≥ 2 has order less than or equal to 16(g-1). We calculate for which values of g this bound is achieved and on these cases we calculate a presentation of the group G.

How to cite

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Gromadzki, G.. "Metabelian groups acting on compact Riemann surfaces.." Revista Matemática de la Universidad Complutense de Madrid 8.2 (1995): 293-305. <http://eudml.org/doc/44198>.

@article{Gromadzki1995,
abstract = {A metabelian group G acting as automorphism group on a compact Riemann surface of genus g ≥ 2 has order less than or equal to 16(g-1). We calculate for which values of g this bound is achieved and on these cases we calculate a presentation of the group G.},
author = {Gromadzki, G.},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Grupos abelianos; Superficies Riemann; Variedades compactas; Grupos de automorfismos; triangle group},
language = {eng},
number = {2},
pages = {293-305},
title = {Metabelian groups acting on compact Riemann surfaces.},
url = {http://eudml.org/doc/44198},
volume = {8},
year = {1995},
}

TY - JOUR
AU - Gromadzki, G.
TI - Metabelian groups acting on compact Riemann surfaces.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1995
VL - 8
IS - 2
SP - 293
EP - 305
AB - A metabelian group G acting as automorphism group on a compact Riemann surface of genus g ≥ 2 has order less than or equal to 16(g-1). We calculate for which values of g this bound is achieved and on these cases we calculate a presentation of the group G.
LA - eng
KW - Grupos abelianos; Superficies Riemann; Variedades compactas; Grupos de automorfismos; triangle group
UR - http://eudml.org/doc/44198
ER -

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