Abstract
AbstractWe refer to the set of element orders of a finite group 𝐺 as the spectrum of 𝐺. For the simple groupsPSLn(q)\mathrm{PSL}_{n}(q),PSUn(q)\mathrm{PSU}_{n}(q),E6(q)E_{6}(q), andE62(q){}^{2}E_{6}(q), we describe the spectra of extensions of these groups by diagonal automorphisms.
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