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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]
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Abstract

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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