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.
"Special groups whose isometry relation is a finite union of cosets." J. Symbolic Logic 73 (2) 448 - 473, June 2008. https://doi.org/10.2178/jsl/1208359054