A characterization of the group association scheme of An

Norio YAMAZAKI

doi:10.2969/jmsj/1191334080

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July, 2004 A characterization of the group association scheme of

A_{n}

Norio YAMAZAKI

J. Math. Soc. Japan 56(3): 649-685 (July, 2004). DOI: 10.2969/jmsj/1191334080

Abstract

In this paper, we investigate a certain fusion scheme $\tilde{\mathscr{X}}(A_{n})$ of the group association scheme $\mathscr{X}(A_{n})$ of the alternating group of arbitrary degree $n$ . In particular, under some extra assumption on 'geometry of maximal cliques', we characterize $\tilde{\mathscr{X}}(A_{n})$ by parameters.

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Norio YAMAZAKI. "A characterization of the group association scheme of $A_{n}$ ." J. Math. Soc. Japan 56 (3) 649 - 685, July, 2004. https://doi.org/10.2969/jmsj/1191334080