Abstract
In this paper a new translation plane of order 81 is constructed. Its collineation group is solvable and acts on the line at infinity as a permutation group K which is the product of a group of order 5 belonging to the center of K with a group of order 48. A 2-Sylow subgroup of K is the direct product of a dihedral group of order 8 with a group of order 2. K admits six orbits. They have lengths 4, 6, 12, 12, 24, 24.
Publisher
Cambridge University Press (CUP)
Reference14 articles.
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2. Finite Translation Planes
3. A translation plane of order 112
Cited by
13 articles.
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