6533b85bfe1ef96bd12ba1fa

RESEARCH PRODUCT

Restriction of characters to Sylow normalizers

Gabriel Navarro

subject

CombinatoricsSolvable groupGeneral MathematicsSylow theoremsPrime (order theory)Mathematics

description

Suppose that G is a finite p -solvable group and let \chi \in {\rm Irr}(G) be of p^\prime -degree. In this note, we investigate when \chi remains irreducible when restricted to {\bf {N)}_{G}(P) .

https://doi.org/10.1017/s0017089501020146