On two classes of finite supersoluble groups
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DOI: 10.1080/00927872.2017.1335745
Abstract: ABSTRACT Let ℨ be a complete set of Sylow subgroups of a finite group G, that is, a set composed of a Sylow p-subgroup of G for each p dividing the order of G. A… read more here.
Keywords: subgroup; sylow subgroup; two classes; every sylow ... See more keywords
Fusion systems on a Sylow 3-subgroup of the McLaughlin group
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DOI: 10.1515/jgth-2019-2045
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. read more here.
Keywords: fusion systems; mclaughlin group; group; sylow subgroup ... See more keywords