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NON-NORMAL PAIRS OF NON-EUCLIDEAN CRYSTALLOGRAPHIC GROUPS

Published online by Cambridge University Press:  30 January 2006

JOSÉ LUIS ESTÉVEZ  and
MILAGROS IZQUIERDO
JOSÉ LUIS ESTÉVEZ
Affiliation:
Depto. Matemáticas Fundamentales, Facultad Ciencias, UNED, C/Senda del Rey 9, 28040 Madrid, Spainjestevez@mat.uned.es
MILAGROS IZQUIERDO
Affiliation:
Matematiska Institutionen, Linköpings Universitet, 581 83 Linköping, Swedenmiizq@mai.liu.se
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Abstract

Let $\Gamma$ be a non-Euclidean crystallographic group. $\Gamma$ is said to be non-maximal if there exists a non-Euclidean crystallographic group $\Gamma'$ such that $\Gamma \le \Gamma'$ and the dimension of the Teichmüller space of $\Gamma$ equals the dimension of the Teichmüller space of $\Gamma'$. The full list of such pairs of groups is computed in the case when $\Gamma$ is non-normal in $\Gamma'$. The corresponding problem for Fuchsian groups was solved by Singerman.

Keywords

20H10 (primary)30F10 (secondary)

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Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 38 , Issue 1 , February 2006 , pp. 113 - 123
Copyright
The London Mathematical Society 2006

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