Punnzeyar Patthanangkoor and Sompong Dhompongsa

pp. 107 - 113

Abstract

The subgroups in the set N_max (G,B) consisting of all maximal 3-local subgroups of G = Sym(n) with respect to B,
the normalizer of a Sylow 3-subgroup of G in G, is investigated. Additionally, the structure of the subgroups in N_max (G,B) was determined.

Keywords

• symmetric group
• Sylow 3-subgroup
• normalizer
• maximal 3-local subgroup