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On Redfield's Range-Correspondences

Published online by Cambridge University Press:  20 November 2018

H. O. Foulkes*
Affiliation:
University College, Swansea, Great Britain
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In an important paper (7), long overlooked, J. H. Redfield dealt with several aspects of enumerative combinatorial analysis. In a previous paper (1) I showed the relation between a certain repeated scalar product of a set of permutation characters of a symmetric group and Redfield's composition of his group reduction functions. Here I consider, from a group representational point of view, Redfield's idea of a range-correspondence and its application to enumeration of linear graphs. The details of the application of these ideas to more general enumerations are also given.

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Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1966