Hostname: page-component-848d4c4894-cjp7w Total loading time: 0 Render date: 2024-07-07T21:43:50.986Z Has data issue: false hasContentIssue false
  • English
  • Français

A Pair of Generators for the Unimodular Group

Published online by Cambridge University Press:  20 November 2018

Stanton M. Trott
Stanton M. Trott*
Affiliation:
University of Toronto and University of Tasmania
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

It is well known that ℳn, the multiplicative group n consisting of n-rowed square matrices with integer entries and determinant equal to ±1 can be generated by:

It is also known that U4 can be generated by U1, U2, and U3 (cf.[2] p.85).

However, by a construction which is much simpler than the one just mentioned for U4, it is possible to generate U3 by just U2 and U4. Since U2 and U4 affect only the first

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 5 , Issue 3 , September 1962 , pp. 245 - 252
Copyright
Copyright © Canadian Mathematical Society 1962

References

1. Beldin, , D.-Thesis, Reed College, 1957.Google Scholar
2. Coxeter, H.S.M. and Moser, W.O.J., -Generators and Relations for Discrete Groups, Springr-Verlag, 1957.Google Scholar