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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.

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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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