Title of article
Rationality of Eigenvalues of Cartan Matrices in Finite Groups
Author/Authors
Masao Kiyota، نويسنده , , Masafumi Murai، نويسنده , , Tomoyuki Wada، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2002
Pages
10
From page
110
To page
119
Abstract
We study the case in which eigenvalues and elementary divisors of a Cartan matrix of a p-block B of a finite group coincide. In several cases we prove the coincidence occurs if and only if the Perron–Frobenius eigenvalue of the Cartan matrix is equal to the order of a defect group of B.
Keywords
Finite group , Cartan matrix , rationality of eigenvalue , p-block
Journal title
Journal of Algebra
Serial Year
2002
Journal title
Journal of Algebra
Record number
695796
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