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YCor
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Automorphisms of the totally ordered group Z^n$\mathbb{Z}{^n}$ with lexicographical order

It is easy to see that the totally ordered group Z$\mathbb{Z}$ (the integers) with the natural order has no non-trivial automorphisms. Is this also true for Z^n$\mathbb{Z}^n$ with the lexicographical order?

Automorphisms of the totally ordered group Z^n with lexicographical order

It is easy to see that the totally ordered group Z (the integers) with the natural order has no non-trivial automorphisms. Is this also true for Z^n with the lexicographical order?

Automorphisms of the totally ordered group $\mathbb{Z}{^n}$ with lexicographical order

It is easy to see that the totally ordered group $\mathbb{Z}$ (the integers) with the natural order has no non-trivial automorphisms. Is this also true for $\mathbb{Z}^n$ with the lexicographical order?

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Automorphisms of the totally ordered group Z^n with lexicographical order

It is easy to see that the totally ordered group Z (the integers) with the natural order has no non-trivial automorphisms. Is this also true for Z^n with the lexicographical order?