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2005 Some computations regarding Foulkes' conjecture
Jurgen Müller, Max Neunhöffer
Experiment. Math. 14(3): 277-283 (2005).

Abstract

We describe how certain permutation actions of large symmetric groups can be efficiently implemented on a computer. Using a specially tailored adaptation of a general technique to enumerate huge orbits and substantial distributed computation on a cluster of workstations, we collect further evidence related to the approach to Foulkes' conjecture suggested in “A Note on Plethysm,” by S. C. Black and R. J. List.

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Jurgen Müller. Max Neunhöffer. "Some computations regarding Foulkes' conjecture." Experiment. Math. 14 (3) 277 - 283, 2005.

Information

Published: 2005
First available in Project Euclid: 3 October 2005

zbMATH: 1081.05106
MathSciNet: MR2172706

Subjects:
Primary: 05E10
Secondary: 20C30 , 20C40

Keywords: Foulkes' conjecture , plythysm , representations of symmetric groups , Symmetric group , wreath product

Rights: Copyright © 2005 A K Peters, Ltd.

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