Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4585561 | Journal of Algebra | 2012 | 5 Pages |
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