Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-30T19:51:50.726Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access

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).

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)