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A comparison of Chehata's and Clifford's ordinally simple ordered groups


Author: Todd Feil
Journal: Proc. Amer. Math. Soc. 79 (1980), 512-514
MSC: Primary 06F15; Secondary 20E32
DOI: https://doi.org/10.1090/S0002-9939-1980-0572291-5
MathSciNet review: 572291
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Abstract: Chehata and Clifford gave the two most well-known examples of ordinally simple ordered groups. Chehata's example is also algebraically simple. These two examples are shown to be similar. Clifford's ordered group is shown to have a nonabelian algebraically simple subgroup.


References [Enhancements On Off] (What's this?)

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  • [2] -, On Clifford's ordinally simple group, J. Natur. Sci. and Math. 15 (1975), 79-82.
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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1980-0572291-5
Article copyright: © Copyright 1980 American Mathematical Society

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