A note on restriction of Characters of Alternating groups to Sylow\n Subgroups

2018/06/06 by Eugenio Giannelli, Giannelli, Eugenio
Mathematics · Computer Science · Engineering · #Finite Group Theory Research #Coding theory and cryptography #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1806.02119

Abstract

We restrict irreducible characters of alternating groups of degree divisible\nby p to their Sylow p-subgroups and study the number of linear\nconstituents.\n

Related

• Minimal numbers of linear constituents in Sylow restrictions for symmetric groups
• Sylow subgroups and the number of irreducible characters of degrees divisible by a prime p
• Linear characters of Sylow subgroups of symmetric groups
• Character correspondeces in solvable groups with a self-normalizing Sylow subgroup
• Restrictions of characters in p-solvable groups