Dimensional dual hyperovals with doubly transitive automorphism groups
نویسندگان
چکیده
منابع مشابه
The Automorphism groups of Doubly Transitive Bilinear Dual Hyperovals
This paper has two purposes. We determine the automorphism groups of the 2-transitive, bilinear dual hyperovals over F2 of type D[k], which were constructed in [6] by the author. Secondly, we characterize 2-transitive quotients of the Huybrechts dual hyperoval, compute their automorphism groups and give estimates on the number of such quotients.
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In [9] S. Yoshiara determines possible automorphism group of doubly transitive dimensional dual hyperovals. He shows, that a doubly transitive dual hyperoval D is either isomorphic to the Mathieu dual hyperoval or the dual hyperoval is defined over F2 and if the hyperoval has rank n, the automorphism group has the form E · S, with an elementary abelian group E of order 2 and S a subgroup of GL(...
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We classify the bilinear dual hyperovals over F2 of rank n, which admit a cyclic autotopism group of order 2 − 1. This work is a continuation of previous research of S. Yoshiara [7], where such dual hyperovals were investigated under the additional assumption, that the ambient space has dimension 2n.
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In this note, we complete the classification of extremal doubly even self-dual codes with 2-transitive automorphism groups.
متن کاملDoubly Transitive Dimensional Dual Hyperovals: Universal Covers and Non-Bilinear Examples
In [5] we showed, that a doubly transitive, non-solvable dimensional dual hyperoval D is either isomorphic to the Mathieu dual hyperoval or to a quotient of a Huybrechts dual hyperoval. In order to determine the doubly transitive dimensional dual hyperovals, it remains to classify the doubly transitive, solvable dimensional dual hyperovals and this paper is a contribution to this problem. A dou...
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ژورنال
عنوان ژورنال: European Journal of Combinatorics
سال: 2009
ISSN: 0195-6698
DOI: 10.1016/j.ejc.2008.07.003