Some computations regarding Foulkes' conjecture
Jurgen Müller and Max Neunhöffer
Source: Experiment. Math. Volume 14, Issue 3
(2005), 277-283.
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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Keywords: Foulkes' conjecture; symmetric group; representations of symmetric groups; plythysm; wreath product
Full-text: Open access
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.em/1128371753
Zentralblatt MATH identifier: 1081.05106
Mathematical Reviews number (MathSciNet): MR2172706
Experimental Mathematics
