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.
Vincent Astier. "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