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Remarks on a Paper by S. Trott
Published online by Cambridge University Press: 20 November 2018
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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,
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- 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
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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
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