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Maximal 3-local subgroups of symmetric groups

Author(s): Punnzeyar Patthanangkoor | Sompong Dhompongsa

Journal: Songklanakarin Journal of Science and Technology
ISSN 0125-3395

Volume: 35;
Issue: 1;
Start page: 107;
Date: 2013;
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Keywords: symmetric group | Sylow 3-subgroup | normalizer | maximal 3-local subgroup

The subgroups in the set 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 max    G B,was determined.
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