Relationships between plethysm coefficients

Abstract

We consider the plethysm problem stated for representations of symmetric groups. In particular, we prove new relationships between composition multiplicities of twisted Foulkes modules. Expressed in terms of symmetric functions, our results establish relationships between plethysm coefficients.

13 pages; revised version with new introduction; conjectures added in Section 7

References in corpus (2)

• Even Partitions in Plethysms
• Minimal and maximal constituents of twisted Foulkes characters