We study geometries that arise from the natural G(2)(K) action on the geometry of one-dimensional subspaces, of non-singular two-dimensional subspaces, and of non-singular three-dimensional subspaces of the building geometry of type C-3(K), where K is a perfect field of characteristic 2. One of these geometries is intransitive in such a way that the non-standard geometric covering theory from  is not applicable. In this paper we introduce the concept of fused amalgams in order to extend the geometric covering theory so that it applies to that geometry. This yields an interesting new amalgamation result for the group G(2)(K).
|Number of pages||22|
|Journal||Journal of Group Theory|
|Publication status||Published - 1 Jul 2008|