Special Groups Whose Isometry Relation Is a Finite Union of Cosets

Journal of Symbolic Logic 73 (2):448 - 473 (2008)
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Abstract

N₀-stable N₀-categorical linked quaternionic mappings are studied and are shown to correspond (in some sense) to special groups which are N₀-stable. N₀-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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