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arxiv: 1403.2679 · v1 · submitted 2014-03-11 · 🧮 math.GR

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Maximal abelian subgroups of Spin groups and some exceptional simple Lie groups

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keywords groupsabeliansubgroupscentralizerdimensionfinitehavingsimple
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We classify closed abelian subgroups of the simple groups $G_2$, $F_4$, $Aut(so(8))$ having centralizer the same dimension as the dimension of the subgroup, as well as finite abelian subgroups of certain spin and half-spin groups having finite centralizer.

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