  We calculate the next-to-leading order electroweak corrections for
Higgs-boson production in gluon fusion and the Higgs-boson decay into two
photons or gluons in the real Higgs-singlet extension of the Standard model
(HSESM). For the light Higgs-boson of the HSESM the electroweak corrections for
these processes are of the same order of magnitude as in the Standard model.
For the heavy Higgs-boson of the HSESM the electroweak corrections can become
large depending on the considered scenario.
