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Fusion systems on a Sylow 3-subgroup of the McLaughlin group

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Abstract We determine all saturated fusion systems ℱ{\mathcal{F}} on a Sylow 3-subgroup of the sporadic McLaughlin group that do not contain any non-trivial normal 3-subgroup and show that they are… Click to show full abstract

Abstract We determine all saturated fusion systems ℱ{\mathcal{F}} on a Sylow 3-subgroup of the sporadic McLaughlin group that do not contain any non-trivial normal 3-subgroup and show that they are all realizable.

Keywords: fusion systems; mclaughlin group; group; sylow subgroup

Journal Title: Journal of Group Theory
Year Published: 2019

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