Glauberman's Correspondence via Canonical Induction Formulae Robert Boltje University of California, Santa Cruz http://math.uscs.edu/~boltje Abstract: Let $S$ and $G$ be finite groups of coprime order and assume that $S$ acts on $G$. Using the canonical induction formula we construct a natural map from the character ring of $G$ to the character ring of the $S$-fixed points of $G$ which is related to Glauberman's correspondence. Published in: Akad. gemein. Wiss. Erfurt, Sitzungsber. Math.-Nat. Kl. 7 (1996), 19-35.