2-Coverings of classical groups

D. Bubboloni; M. S. Lucido; T. Weigel

2-Coverings of classical groups

Group Theory 2011-02-04 v1

Authors: D. Bubboloni , M. S. Lucido , T. Weigel

Abstract

In this paper we show that if $n\geq 5$ and $G$ is any of the groups $SU_n(q)$ with $n\neq 6,$ $Sp_{2n}(q)$ with $q$ odd, $\Omega_{2n+1}(q),$ $\Omega_{2n}^{\pm}(q),$ then $G$ and the simple group $\barG=G/Z(G)$ are not 2-coverable. Moreover the only 2-covering of $Sp_{2n}(q),$ with $q$ even, has components $O^-_{2n}(q)$ and $O^{+}_{2n}(q) .$

Cite

@article{arxiv.1102.0660,
  title  = {2-Coverings of classical groups},
  author = {D. Bubboloni and M. S. Lucido and T. Weigel},
  journal= {arXiv preprint arXiv:1102.0660},
  year   = {2011}
}

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