The Steiner systems S(2,4,25) with nontrivial automorphism group (Q913801)

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scientific article; zbMATH DE number 4148103
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The Steiner systems S(2,4,25) with nontrivial automorphism group
scientific article; zbMATH DE number 4148103

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    The Steiner systems S(2,4,25) with nontrivial automorphism group (English)
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    1989
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    This paper gives a complete enumeration of all Steiner systems S(2,4,25) with a nontrivial automorphism group. There are precisely 16 such systems, and the paper tabulates several substructures and invariants of the designs. The paper is both a good reference article, and an excellent introduction to the techniques of enumeration of block designs. The exposition is clear and concise and the wealth of information on the designs will certainly prove valuable to researchers in the area.
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    balanced incomplete block design
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    BIBD
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    Steiner systems
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