Applications of Group Representation Theory to the Easier Waring Problem Original Research Article

We show how Rao and Vaserstein′s identities may be related to the groups S22 and S3. We then develop a theory that enables us to produce various identities, for any given pair (G, ε) of a group G and a character ε defined on G. When ε is ± 1-valued, these identities may be used to obtain upper bounds for the easier Waring problem over image and image. This approach may be considered as an alternative to the Tarry-Escott problem.