Brauer Induction and Equivariant Stable Homotopy

Michael Charles Crabb

    Research output: Contribution to journalArticle

    1 Citation (Scopus)

    Abstract

    Brauer's induction theorem, published in 1951, asserts that every element of the complex representation ring R(G) of a finite group G is a linear combination of classes induced from 1-dimensional representations of subgroups of G. In 1987, Snaith formulated an explicit version of the induction theorem. Using the methods of equivariant fibrewise stable homotopy theory, specifically fixed-point theory, this note clarifies the relation between the explicit Brauer induction theorem due to Snaith, Boltje and Symonds and a topological splitting theorem established by Segal in 1973.

    Original languageEnglish
    Pages (from-to)469-475
    Number of pages6
    JournalArchiv der Mathematik
    Volume77
    DOIs
    Publication statusPublished - 2001

    Cite this