Degrees and  p ‐rational characters | Zendy

Navarro Gabriel | Zendy; Tiep Pham Huu | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

Degrees and p ‐rational characters

Author(s) -

Navarro Gabriel,

Tiep Pham Huu

Publication year - 2012

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/blms/bds054

Subject(s) - sylow theorems , mathematics , character (mathematics) , finite group , normal subgroup , prime (order theory) , combinatorics , character table , degree (music) , pure mathematics , group (periodic table) , zero (linguistics) , discrete mathematics , geometry , linguistics , chemistry , physics , organic chemistry , philosophy , acoustics

Suppose that G is a finite group and that p is a prime number. We prove that if every p ‐rational irreducible character of G is non‐zero on every p ‐element of G , then G has a normal Sylow p ‐subgroup. This yields a p ‐rational refinement of the Itô–Michler theorem: if p does not divide the degree of any irreducible p ‐rational character of G , then G has a normal Sylow p ‐subgroup

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research