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Remarks on a Paper by S. Trott

Published online by Cambridge University Press:  20 November 2018

W. O. J. Moser
W. O. J. Moser*
Affiliation:
University of Manitoba
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There are several statements in [3] which require clarification.

Theorem 1 [3, p. 246] states that U3= U2U4 U2-1U4 U2 U4. In fact this is (essentially) the relation O = PUPU-1PU given in [1, p. 91, (7.35)]. To see this we note that 0 = U3, P = U4, U = U4U2U4 (as explained in [1, p. 88]); since U42, = E,

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 7 , Issue 1 , March 1964 , pp. 49 - 51
Copyright
Copyright © Canadian Mathematical Society 1964

References

1. Coxeter, H. S. M. and Moser, W. O. J., Generators and relations for discrete groups. Springer, Berlin, 1957.Google Scholar
2. Neumann, B.H., Automorphismengruppe der freien Gruppen. Math. Ann. 107(1933) pp. 367–386.Google Scholar
3. Trott, S. M., A pair of generators for the unimodular group. Can. Math. Bull. 5(1962) pp. 245–252.Google Scholar