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

Jun Yu

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

Group Theory 2014-03-12 v1

Authors: Jun Yu

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.

Keywords

abelian groups finite group theory finite groups

Cite

@article{arxiv.1403.2679,
  title  = {Maximal abelian subgroups of Spin groups and some exceptional simple Lie groups},
  author = {Jun Yu},
  journal= {arXiv preprint arXiv:1403.2679},
  year   = {2014}
}

Comments

arXiv admin note: text overlap with arXiv:1211.1334

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