Divisible, Torsion-Free, and Act Regular Generalized Act Wreath Products

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Generalized wreath products of association schemes

Given a finite partially ordered set X, and, for each x in X, an association scheme on a set Ωx, we show how to define an association scheme on ∏ x Ωx in a way that specializes to iterated crossing and nesting when X is seriesparallel. The character table of the new association scheme is found.

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2001

ISSN: 0021-8693

DOI: 10.1006/jabr.2001.8788