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Special groups whose isometry relation is a finite union of cosets

Published online by Cambridge University Press:  12 March 2014

Vincent Astier
Vincent Astier*
Affiliation:
Universitat Konstanz, Fachbereich Mathematik und Statistik, Fach D203, D-78457 Konstanz, Germany, E-mail: vincent.astier@uni-konstanz.de
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Abstract

ℵ0-stable ℵ0-categorical linked quaternionic mappings are studied and are shown to correspond (in some sense) to special groups which are ℵ0-stable, ℵ0-categorical, satisfy AP(3) and have finite 2-symbol length. They are also related to special groups whose isometry relation is a finite union of cosets, which are then considered on their own, as well as their links with pseudofinite, profinite and weakly normal special groups.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 73 , Issue 2 , June 2008 , pp. 448 - 473
Copyright
Copyright © Association for Symbolic Logic 2008

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