Article ID Journal Published Year Pages File Type
4585561 Journal of Algebra 2012 5 Pages PDF
Abstract

Suppose that G is a finite group, let p be a prime and let P∈Sylp(G). We prove that P is normal in G if and only if all the irreducible constituents of the permutation character (1P)G have degree not divisible by p.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory