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 language | English |
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Pages (from-to) | 469-475 |
Number of pages | 6 |
Journal | Archiv der Mathematik |
Volume | 77 |
DOIs | |
Publication status | Published - 2001 |