2-Coverings of classical groups

Details 2-Coverings of classical groups 2-Coverings of classical groups

2011-02-03

arxiv.org/abs/1102.0660v1

Mathematics

Group Theory

Scientific paper

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 $O^{+}_{2n}(q) .$

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