Maximal finite abelian subgroups of E8
classification
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abelianfinitemaximalsimplesubgroupstypealgebraalgebraic
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The maximal finite abelian subgroups, up to conjugation, of the simple algebraic group of type E8 over an algebraically closed field of characteristic 0 are computed. This is equivalent to the determination of the fine gradings on the simple Lie algebra of type E8 with trivial neutral homogeneous component.
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