We determine all saturated fusion systems 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.
Franchi, C., Baccanelli, E., Mainardis, M., Fusion systems on a Sylow 3-subgroup of the McLaughlin group, <<JOURNAL OF GROUP THEORY>>, 2019; 2019 (22): 689-711. [doi:10.1515/jgth-2019-2045] [http://hdl.handle.net/10807/131117]
Fusion systems on a Sylow 3-subgroup of the McLaughlin group
Franchi, Clara
;Baccanelli, Elisa;
2019
Abstract
We determine all saturated fusion systems 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.
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