In any kinematic space (with non trivial fibration) the group of all automorphisms of the geometric structure which preserve both parallelisms is shown to consist exactly of those automorphisms of the algebraic structure which preserve the fibration. Moreover a characterization of such group is given for a particular class of kinematic spaces.
Pianta, S., On automorphisms for some fibered incidence groups, <<JOURNAL OF GEOMETRY>>, 1987; 30 (2): 164-171. [doi:10.1007/BF01227814] [http://hdl.handle.net/10807/129197]
On automorphisms for some fibered incidence groups
Pianta, Silvia
1987
Abstract
In any kinematic space (with non trivial fibration) the group of all automorphisms of the geometric structure which preserve both parallelisms is shown to consist exactly of those automorphisms of the algebraic structure which preserve the fibration. Moreover a characterization of such group is given for a particular class of kinematic spaces.
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