Question Authority - The Quran mentions beheading. Why does the U.S. press claim otherwise? By Lee Smith
Taqiyya is defined as dissimulation (deception) of one's religious beliefs to non-Muslims.
"Beheadings are not mentioned in the Koran at all," Imam Muhammad Adam El-Sheikh, co-founder and chief cleric at the Dar Al Hijrah mosque in Falls Church, Va., told USA Today.
This article Killing by Beheading is Islamic! provides additional references to beheadings in the Qur'an and other Islamic texts.