Automorphisms of the ordered multiplicative group of positive rational numbers
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- by A. M. W. Glass and Paulo Ribenboim PDF
- Proc. Amer. Math. Soc. 122 (1994), 15-18 Request permission
Abstract:
We prove Theorem. The only automorphism of the ordered multiplicative group of positive rational numbers is the trivial automorphism. We also give other examples of multiplicative groups of real positive algebraic numbers whose only order-preserving automorphisms are trivial.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 122 (1994), 15-18
- MSC: Primary 06F20; Secondary 11J81, 20F60
- DOI: https://doi.org/10.1090/S0002-9939-1994-1195720-5
- MathSciNet review: 1195720