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The association matrices of extended group divisible scheme

โœ Scribed by Sudhir Gupta

Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
553 KB
Volume
20
Category
Article
ISSN
0378-3758

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๐Ÿ“œ SIMILAR VOLUMES

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Let n be a non-zero positive integer and (n) the set of all partitions of n. There is a oneto-one correspondence between (n) and the set of the conjugacy classes of S n , the symmetric group of degree n. Let X (S n ) = (S n , {R \* ฮป } ฮปโˆˆ (n) ) be the group association scheme of S n and X = (X, {R ฮป

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The association scheme having the same intersection numbers as those of the group association scheme X(PSL(2, 7)) is shown to be isomorphic to X(PSL(2, 7)), where PSL(2, 7) is the 2-dimensional projective special linear group over the field of order 7.

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In this paper we determine all symmetric and non-symmetric 3-class association schemes such that for their adjacency matrices D i we have Hadamard matrix of order 16 (i.e. an Hadamard matrix consisting of 16 square blocks H i j of order 4 such that H ii = J 4 and H i j J 4 = J 4 H i j = 0). It appe