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math.RT2014
Cartan matrices and Brauer's k(B)-Conjecture III
Benjamin Sambale
For a block of a finite group we prove that where (respectively ) is the number of irreducible ordinary (respectively Brauer…
math.RT2014
Cartan matrices and Brauer's k(B)-Conjecture IV
Benjamin Sambale
In this note we give applications of recent results coming mostly from the third paper of this series. It is shown that the number of irreducible characters in a -block of a fin…