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arXiv · 1209.3220

Groups with right-invariant multiorders

Peter J. Cameron
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Abstract

A Cayley object for a group G is a structure on which G acts regularly as a group of automorphisms. The main theorem asserts that a necessary and sufficient condition for the free abelian group G of rank m to have the generic n-tuple of linear orders as a Cayley object is that m>n. The background to this theorem is discussed. The proof uses Kronecker's Theorem on diophantine approximation.

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Peter J. Cameron. 2012-09-14. Groups with right-invariant multiorders. https://arxiv.org/abs/1209.3220

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