Geodesic
Some Finitely Generated Analogues of a Group of A. H. Clifford
Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 18-26

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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 
Lewin, Jacques. Some Finitely Generated Analogues of a Group of A. H. Clifford. Canadian journal of mathematics, Tome 18 (1966) no. 1, pp. 18-26. doi: 10.4153/CJM-1966-004-3
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[1] 1. Clifford, A. H., A noncommutative ordinally simple linearly ordered group, Proc. Amer. Math. Soc, 2 (1951), 902–903. Google Scholar

[2] 2. Kurosh, A. G., The theory of groups, vol. II (New York, 1955). Google Scholar

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