Hostname: page-component-6bf8c574d5-h6jzd Total loading time: 0.001 Render date: 2025-02-14T10:35:10.475Z Has data issue: false hasContentIssue false
  • English
  • Français

Inducing characters and nilpotent injectors

Published online by Cambridge University Press:  17 April 2009

Lucía Sanus
Lucía Sanus
Affiliation:
Department d'Àlgebra, Facultat de Matemàtiques, Universitat de València46100 Burjassot. ValènciaSpain e-mail: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let G be a finite group and let N be a normal subgroup of G. If G/N is solvable and H/N is a nilpotent injector of G/N, then there exists a canonical basis of the complex space of the class functions of G which vanish off the G-conjugates of H.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 62 , Issue 1 , August 2000 , pp. 155 - 158
Copyright
Copyright © Australian Mathematical Society 2000

References

[1]Isaacs, I.M., Character theory of finite groups (Dover Publications, New York, 1994).Google Scholar
[2]Mann, A., ‘Injectors and normal subgroups of finite groups’, Israel J. Math. 9 (1971), 554–558.CrossRefGoogle Scholar
[3]Navarro, G., ‘Bases for induced characters’, J. Austral. Math. Soc. Ser. A 61 (1996), 369–376.CrossRefGoogle Scholar
[4]Navarro, G., Sanus, L., ‘Partial characters with respect to a normal subgroup’, J. Austral. Math. Soc. Ser. A 66 (1999), 104–124.CrossRefGoogle Scholar
[5]Navarro, G., Sanus, L., ‘A partition of characters associated to nilpotent subgroups’, Israel J. Math. 114 (1999), 359–381.CrossRefGoogle Scholar
[6]Sanus, L., ‘Blocks relative to a normal subgroup in π-separable groups’, J. Algebra (to appear).Google Scholar