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RESEARCH PRODUCT

On the Navarro–Willems conjecture for blocks of finite groups

Jørn B. OlssonGabriel NavarroChristine BessenrodtPham Huu Tiep

subject

CombinatoricsSet (abstract data type)Discrete mathematicsFinite groupAlgebra and Number TheoryConjectureGroup (mathematics)Group orderMathematics

description

Abstract We prove that a set of characters of a finite group can only be the set of characters for principal blocks of the group at two different primes when the primes do not divide the group order. This confirms a conjecture of Navarro and Willems in the case of principal blocks.

10.1016/j.jpaa.2006.01.013http://dx.doi.org/10.1016/j.jpaa.2006.01.013