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Some Finitely Generated Analogues of a Group of A. H. Clifford

Published online by Cambridge University Press:  20 November 2018

Jacques Lewin
Jacques Lewin*
Affiliation:
Courant Institute of Mathematical Sciences, New York, New York and California Institute of Technology, Pasadena, California
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Let n1 and n2 be two elements of a commutative field of characteristic different from 2 that satisfy: (i) n1 ≠ 0; (ii) n2 ≠ 0; (iii) n1 + n2 ≠ 0. We define the “weighted average” α * β of two arbitrary elements α and β of as

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 18 , 1966 , pp. 18 - 26
Copyright
Copyright © Canadian Mathematical Society 1966

References

1. Clifford, A. H., A noncommutative ordinally simple linearly ordered group, Proc. Amer. Math. Soc, 2 (1951), 902–903.Google Scholar
2. Kurosh, A. G., The theory of groups, vol. II (New York, 1955).Google Scholar