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Minimal subschemes of the group association schemes of Mathieu groups

โœ Scribed by Yasushi Iwakata


Book ID
105309136
Publisher
Springer Japan
Year
1990
Tongue
English
Weight
438 KB
Volume
6
Category
Article
ISSN
0911-0119

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๐Ÿ“œ SIMILAR VOLUMES


Characterization of the Group Associatio
โœ M. Tomiyama; N. Yamazaki ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 363 KB

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

Characterization of the Group Associatio
โœ Masato Tomiyama ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 328 KB

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.