Hostname: page-component-586b7cd67f-t7fkt Total loading time: 0 Render date: 2024-11-22T22:09:40.916Z Has data issue: false hasContentIssue false
  • English
  • Français

A submatrix of the character table

Published online by Cambridge University Press:  17 April 2009

Gabriel Navarro
Gabriel Navarro
Affiliation:
Department d' Àlgebra, Facultat de Matemàtiques, Universitat de València, 46100 Burjassot, València, Spain 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 p be a prime number. We consider the Submatrix of the character table of G whose rows are indexed by the characters in blocks of maximal defect, and whose columns are indexed by the conjugacy classes of P′-size. We prove that this matrix has maximum rank.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 62 , Issue 3 , December 2000 , pp. 525 - 528
Copyright
Copyright © Australian Mathematical Society 2000

References

[1]Navarro, G., Characters and blocks of finite groups, London Mathematical Society Lecture Note Series 250 (Cambridge University Press, Cambridge, 1998).Google Scholar