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Elementary abelian 2-subgroups of compact Lie groups

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Abstract

We classify elementary abelian 2-subgroups of compact simple Lie groups of adjoint type. This finishes the classification of elementary abelian \(p\)-subgroups of compact simple Lie groups (equivalently, complex linear algebraic simple groups) of adjoint type started in Griess (Geom Dedicata 39(3):253–305, 1991).

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Acknowledgments

The author would like to thank Professors Griess and Grodal for some helpful communications. He would like to thank Professor Jing-Song Huang for discussions on symmetric pairs and thank Professor Doran for a lot of suggestions on the mathematical writing. The author ’s research is supported by a grant from Swiss National Science Foundation (Schweizerischer Nationalfonds).

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  1. Department of Mathematics, ETH Zürich, 8092 , Zürich, Switzerland

    Jun Yu

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  1. Jun Yu
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Correspondence to Jun Yu.

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Yu, J. Elementary abelian 2-subgroups of compact Lie groups. Geom Dedicata 167, 245–293 (2013). https://doi.org/10.1007/s10711-012-9813-2

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  • DOI: https://doi.org/10.1007/s10711-012-9813-2

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