Maximal 3-local subgroups of symmetric groups

The subgroups in the set Ν 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 Ν max (G,B) was determined.

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Bibliographic Details
Main Authors: Punnzeyar Patthanangkoor, Sompong Dhompongsa
Format: Journal
Published: 2018
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84874754289&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/48060
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Institution: Chiang Mai University
Description
Summary:The subgroups in the set Ν 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 Ν max (G,B) was determined.