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THE GLAUBERMAN CORRESPONDENCE AND SUBGROUPS OF OPERATOR GROUPS: A COUNTEREXAMPLE

Published online by Cambridge University Press:  01 May 1997

CHRISTOPHER PUIN  and
T. R. WOLF
CHRISTOPHER PUIN
Affiliation:
Department of Mathematics, Ohio University, Athens, OH 45701, USA
T. R. WOLF
Affiliation:
Department of Mathematics, Ohio University, Athens, OH 45701, USA
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Abstract

Let G and A be finite groups with coprime orders, and suppose that A acts on G by automorphisms. Let π(G, A)[ratio ]IrrA(G)→Irr (CG(A)) be the Glauberman–Isaacs correspondence. Let B[les ]A and χ∈IrrA(G). We exhibit a counterexample to the conjecture that χπ(G, A) is an irreducible constituent of the restriction of χπ(G, B) to CG(A).

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Type
Research Article
Information
Bulletin of the London Mathematical Society , Volume 29 , Issue 3 , May 1997 , pp. 307 - 308
Copyright
© The London Mathematical Society 1997

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