Measurements of t-channel single top quark production in pp collisions

A summmary of the measurements of the $t$-channel single top quark production cross section and properties in proton-proton collisions at the LHC with the CMS detector is presented. Inclusive cross section measurements at centre-of-mass energies of 7 and 8 TeV are exploited to extract constraints on the Cabibbo Kobayashi Maskawa matrix element $\mathrm{V_{\mathrm{tb}}}$. The charge ratio between $t$-channel top and antitop cross sections is presented, as well as the measurement of the W-boson helicity fractions in single-top events. All the measurements show good agreement with the standard model predictions.