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Article overview
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The first-order theory of $ell$-permutation groups | A. M. W. Glass
; John S. Wilson
; | Date: |
1 Jun 2016 | Abstract: | Let $(Omega, leq)$ be a totally ordered set. We prove that if
$Aut(Omega,leq)$ is transitive and satisfies the same first-order sentences
as $Aut(RR,leq)$ (in the language of lattice-ordered groups) then $Omega$
and $RR$ are isomorphic ordered sets. This improvement of a theorem of
Gurevich and Holland is obtained as one of many consequences of a study of
centralizers and coloured chains associated with certain transitive subgroups
of $Aut(Omega,leq)$. | Source: | arXiv, 1606.0312 | Services: | Forum | Review | PDF | Favorites |
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