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

Feil, Todd

doi:10.1090/S0002-9939-1980-0572291-5

A comparison of Chehata’s and Clifford’s ordinally simple ordered groups
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by Todd Feil

Proc. Amer. Math. Soc. 79 (1980), 512-514

DOI: https://doi.org/10.1090/S0002-9939-1980-0572291-5

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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

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On Clifford’s ordinally simple group

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