Maximal abelian subgroups of Spin groups and some exceptional simple Lie groups
classification
🧮 math.GR
keywords
groupsabeliansubgroupscentralizerdimensionfinitehavingsimple
read the original abstract
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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