✦ LIBER ✦

Characters, coprime actions, and operator groups

✍ Scribed by Mark L. Lewis

Publisher: Springer
Year: 1997
Tongue: English
Weight: 130 KB
Volume: 69
Category: Article
ISSN: 0003-889X
DOI: 10.1007/s000130050145

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Let A and G be finite groups with coprime orders, and suppose that A acts on G by automorphisms. Let π G A Irr A G → Irr C G A be the Glauberman-Isaacs correspondence. Let B ≤ A and let χ ∈ Irr A G . We examine the conjecture that χπ G A is an irreducible constituent of the restriction of χπ G B to