Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Generic automorphisms of the universal partial order
HTML articles powered by AMS MathViewer

by D. Kuske and J. K. Truss PDF
Proc. Amer. Math. Soc. 129 (2001), 1939-1948 Request permission

Abstract:

We show that the countable universal-homogeneous partial order $(P,<)$ has a generic automorphism as defined by the second author, namely that it lies in a comeagre conjugacy class of Aut$(P,<)$. For this purpose, we work with ‘determined’ partial finite automorphisms that need not be automorphisms of finite substructures (as in the proofs of similar results for other countable homogeneous structures) but are nevertheless sufficient to characterize the isomorphism type of the union of their orbits.
References
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 06A06, 20B27
  • Retrieve articles in all journals with MSC (2000): 06A06, 20B27
Additional Information
  • D. Kuske
  • Affiliation: Institut für Algebra, Technische Universität Dresden, D-01062 Dresden, Germany
  • Address at time of publication: Department of Mathematics and Computer Science, University of Leicester, Leicester LE1 7RH, England
  • Email: kuske@math.tu-dresden.de, D.Kuske@mcs.le.ac.uk
  • J. K. Truss
  • Affiliation: Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT, England
  • Email: pmtjkt@leeds.ac.uk
  • Received by editor(s): September 14, 1999
  • Received by editor(s) in revised form: November 15, 1999
  • Published electronically: December 13, 2000
  • Additional Notes: Research supported by a grant from the British-German Academic Collaboration Programme. The authors thank the referee for helpful suggestions.
  • Communicated by: Carl G. Jockusch, Jr.
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 129 (2001), 1939-1948
  • MSC (2000): Primary 06A06, 20B27
  • DOI: https://doi.org/10.1090/S0002-9939-00-05778-6
  • MathSciNet review: 1825900