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c-Regular cyclically ordered groups
We define and we characterize regular and c-regular cyclically ordered
abelian groups. We prove that every dense c-regular cyclically ordered abelian
group is elementarily equivalent to some cyclically ordered group of unimodular
complex numbers, that every discrete c-regular cyclically ordered abelian group
is elementarily equivalent to some ultraproduct of finite cyclic groups, and
that the discrete regular non-c-regular cyclically ordered abelian groups are
elementarily equivalent to the linearly cyclically ordered group of integers.Comment: 20 page
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