Poševni morfizem ▫$\varphi$▫ končne grupe ▫$A$▫ je permutacija elementov grupe ▫$A$▫, ki fiksira enotski element grupe ▫$A$▫ in za katero obstaja taka celoštevilska funkcija ▫$\pi$▫ na ▫$A$▫, da je ...▫$\varphi(ab) = \varphi(a)\varphi^{\pi(a)}(b)$▫ za vse ▫$a \in A$▫. Poševni morfizem je gladek, če za vse ▫$a \in A$▫ velja ▫$\pi(\varphi(a)) = \pi(a)$▫. Pojem gladkega poševnega morfizma je posplošitev pojma ▫$t$▫-uravnoteženega poševnega morfizma. Cilj tega članka je razviti splošno teorijo gladkih poševnih morfizmov. Kot primer uporabe te teorije klasificiramo gladke poševne morfizme diedrskih grup.
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