A 3-Local Characterization of the Harada--Norton Sporadic Simple Group
classification
🧮 math.GR
keywords
groupgroupsharada--nortonlocalsimplesporadicautomorphismcentre
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We provide 3-local characterizations of the Harada--Norton sporadic simple group and its automorphism group. Both groups are examples of groups of parabolic characteristic three and we identify them from the structure of the normalizer of the centre of a Sylow 3-subgroup.
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