2023
DOI: 10.3336/gm.58.2.03
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Higher incidence matrices and tactical decomposition matrices

Michael Kiermaier,
Alfred Wassermann

Abstract: In 1985, Janko and Tran Van Trung published an algorithm for constructing symmetric designs with prescribed automorphisms. This algorithm is based on the equations by Dembowski (1958) for tactical decompositions of point-block incidence matrices. In the sequel, the algorithm has been generalized and improved in many articles. In parallel, higher incidence matrices have been introduced by Wilson in 1982. They have proven useful for obtaining several restrictions on the existence of de… Show more

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