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XXV.—On the Groups of Units of Ternary Quadratic Forms with Rational Coefficients

Published online by Cambridge University Press:  14 February 2012

J. Mennicke
J. Mennicke
Affiliation:
Mathematisches Institut A, Technische Hochschule, Braunschweig, Germany.
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Synopsis

Fuchsian groups that are unit groups of ternary quadratic forms with rational integer coefficients are studied. By means of the well-known Nielsen classification of finitely generated Fuchsian groups, a complete survey of the unit groups is given. For this, we have to use the arithmetical methods of B. W. Jones. In the second part, the relations between Fuchsian groups arising from different quadratic forms are studied. It turns out that, with a finite number of exceptions, all these Fuchsian groups are subgroups of a particular one.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 67 , Issue 4 , 1967 , pp. 309 - 352
Copyright
Copyright © Royal Society of Edinburgh 1967

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