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RESEARCH PRODUCT
A Series of Hadamard Designs with Large Automorphism Groups
Mario Osvin PavčevićDieter Heldsubject
incidence matrixAlgebra and Number TheoryOuter automorphism groupAlternating groupAutomorphismCombinatoricsInner automorphismSymmetric groupOrder (group theory)symmetric design; Hadamard matrix; incidence matrix; orbit structureHadamard matrixFrobenius grouporbit structuresymmetric designHadamard matrixMathematicsdescription
Abstract Whilst studying a certain symmetric (99, 49, 24)-design acted upon by a Frobenius group of order 21, it became clear that the design would be a member of an infinite series of symmetric (2q2 + 1, q2, (q2 − 1)/2)-designs for odd prime powers q. In this note, we present the definition of the series and give some information about the automorphism groups of its members.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2000-12-01 | Journal of Algebra |