On the automorphism group of the countable dense circular order

J. K. Truss

Fundamenta Mathematicae (2009)

  • Volume: 204, Issue: 2, page 97-111
  • ISSN: 0016-2736

Abstract

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Let (C,R) be the countable dense circular ordering, and G its automorphism group. It is shown that certain properties of group elements are first order definable in G, and these results are used to reconstruct C inside G, and to demonstrate that its outer automorphism group has order 2. Similar statements hold for the completion C̅.

How to cite

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J. K. Truss. "On the automorphism group of the countable dense circular order." Fundamenta Mathematicae 204.2 (2009): 97-111. <http://eudml.org/doc/282839>.

@article{J2009,
abstract = {Let (C,R) be the countable dense circular ordering, and G its automorphism group. It is shown that certain properties of group elements are first order definable in G, and these results are used to reconstruct C inside G, and to demonstrate that its outer automorphism group has order 2. Similar statements hold for the completion C̅.},
author = {J. K. Truss},
journal = {Fundamenta Mathematicae},
keywords = {circular order; automorphism group},
language = {eng},
number = {2},
pages = {97-111},
title = {On the automorphism group of the countable dense circular order},
url = {http://eudml.org/doc/282839},
volume = {204},
year = {2009},
}

TY - JOUR
AU - J. K. Truss
TI - On the automorphism group of the countable dense circular order
JO - Fundamenta Mathematicae
PY - 2009
VL - 204
IS - 2
SP - 97
EP - 111
AB - Let (C,R) be the countable dense circular ordering, and G its automorphism group. It is shown that certain properties of group elements are first order definable in G, and these results are used to reconstruct C inside G, and to demonstrate that its outer automorphism group has order 2. Similar statements hold for the completion C̅.
LA - eng
KW - circular order; automorphism group
UR - http://eudml.org/doc/282839
ER -

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