On a special class of Frobenius groups admitting planar partitions.
Some examples of affine planes non-extensible to a Laguerre plane are studied and conditions for the uniqueness of a Laguerre extension are given.
ACM Computing Classification System (1998): G.2.1.We prove that the minimum size of an affine blocking set in the affine plane AHG ...This research has been supported by the Scientific Research Fund of Sofia University under Contract No 109/09.05.2012.
We prove that if the Walsh bipartite map of a regular oriented hypermap is also orientably regular then both and have the same chirality group, the covering core of (the smallest regular map covering ) is the Walsh bipartite map of the covering core of and the closure cover of (the greatest regular map covered by ) is the Walsh bipartite map of the closure cover of . We apply these results to the family of toroidal chiral hypermaps induced by the family of toroidal bipartite maps...