6533b862fe1ef96bd12c6d70

RESEARCH PRODUCT

A submatrix of the character table

Gabriel Navarro

subject

CombinatoricsMatrix (mathematics)Finite groupConjugacy classCharacter tableMaximum rankGeneral MathematicsPrime numberRowMathematics

description

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.

https://doi.org/10.1017/s0004972700019031