Authors

Alejandro Adem, Karel Dekimpe, Nansen Petrosyan, Bartosz Putrycz

Title

On generators of crystallographic groups and actions on flat orbifolds



Abstract


We find new  bounds on the minimal number of generators of  crystallographic groups with p-group holonomy. We also show that similar bounds exist on the minimal number of generators of the abelianizations of arbitrary crystallographic groups. As a consequence, we show that this  restricts  the rank of elementary abelian p-groups that can act effectively on closed connected flat orbifolds.

Status

Journal of Group Theory, 2012, to appear.