Inherited groups and kernels of derived translation planes
NL Johnson, TG Ostrom - European Journal of Combinatorics, 1990 - Elsevier
NL Johnson, TG Ostrom
European Journal of Combinatorics, 1990•ElsevierWhen an affine plane is converted to another plane by derivation, the point permutations
which act as collineations of both planes form the inherited group. The full group can be
larger than the inherited group. For finite translation planes in which some of the Baer
subplanes involved are not vector spaces over the kernel of the original plane then the full
collineation group of the derived plane is the inherited group provided the order of the plane
is greater than 16.
which act as collineations of both planes form the inherited group. The full group can be
larger than the inherited group. For finite translation planes in which some of the Baer
subplanes involved are not vector spaces over the kernel of the original plane then the full
collineation group of the derived plane is the inherited group provided the order of the plane
is greater than 16.
When an affine plane is converted to another plane by derivation, the point permutations which act as collineations of both planes form the inherited group. The full group can be larger than the inherited group. For finite translation planes in which some of the Baer subplanes involved are not vector spaces over the kernel of the original plane then the full collineation group of the derived plane is the inherited group provided the order of the plane is greater than 16.
Elsevier
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