AUTOMORPHISMS OF THE ORDERED MULTIPLICATIVE GROUP OF POSITIVE RATIONAL NUMBERS

Authors
GLASS AMW RIBENBOIM P
Citation
Amw. Glass et P. Ribenboim, AUTOMORPHISMS OF THE ORDERED MULTIPLICATIVE GROUP OF POSITIVE RATIONAL NUMBERS, Proceedings of the American Mathematical Society, 122(1), 1994, pp. 15-18
Citations number
8
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
122
Issue
1
Year of publication
1994
Pages
15 - 18
Database
ISI
SICI code
0002-9939(1994)122:1<15:AOTOMG>2.0.ZU;2-A
Abstract
We prove Theorem. The only automorphism of the ordered multiplicative group of positive rational numbers is the trivial automorphism. We als o give other examples of multiplicative groups of real positive algebr aic numbers whose only order-preserving automorphisms are trivial.