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Mon, 27 Nov 2006 12:32:05 +0100Mon, 27 Nov 2006 12:32:05 +0100Quasiregular Projective Panes of Order 16 -- A Computational Approach
https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1813
This thesis discusses methods for the classification of finite projective planes via exhaustive search. In the main part the author classifies all projective planes of order 16 admitting a large quasiregular group of collineations. This is done by a complete search using the computer algebra system GAP. Computational methods for the construction of relative difference sets are discussed. These methods are implemented in a GAP-package, which is available separately. As another result --found in cooperation with U. Dempwolff-- the projective planes defined by planar monomials are classified. Furthermore the full automorphism group of the non-translation planes defined by planar monomials are classified.Marc RĂ¶derdoctoralthesishttps://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/1813Mon, 27 Nov 2006 12:32:05 +0100