Original Paper

|T |+-resplendent models and the Lascar group

  1. Enrique Casanovas,
  2. Rodrigo Peláez

Article first published online: 28 SEP 2005

DOI: 10.1002/malq.200510012

Issue

Mathematical Logic Quarterly

Mathematical Logic Quarterly

Volume 51, Issue 6, pages 626–631, November 2005

Additional Information

How to Cite

Casanovas, E. and Peláez, R. (2005), |T |+-resplendent models and the Lascar group. Mathematical Logic Quarterly, 51: 626–631. doi: 10.1002/malq.200510012

Author Information

  1. Departamento de Lógica, Historia y Filosofía de la Ciencia, Universidad de Barcelona, Baldiri Reixac s/n, E-08028 Barcelona, Spain

Publication History

  1. Issue published online: 28 SEP 2005
  2. Article first published online: 28 SEP 2005
  3. Manuscript Revised: 24 AUG 2005
  4. Manuscript Accepted: 24 AUG 2005
  5. Manuscript Received: 14 JAN 2005

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Keywords:

  • Automorphism groups;
  • Lascar group;
  • resplendent models

Abstract

In this paper we show that in every |T |+-resplendent model N , for every A ⊆ N such that |A | ≤ |T |, the group Autf(N/A ) of strong automorphisms is the least very normal subgroup of the group Aut(N/A ) and the quotient Aut(N/A )/Autf(N/A ) is the Lascar group over A . Then we generalize this result to every |T |+-saturated and strongly |T |+-homogeneous model. (© 2005 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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