Can a non independent character deploy in a dedicated transport?
Tycho has two different profiles, Captain Tycho and Death Company Tycho. 

Since Death Company Tycho is not an independent character (codex p. 41, FAQ p. 4), it is disallowed by the Dedicated Transport rules (p. 78):

The only limitation of a Dedicated Transport is that when it is
deployed, it can only carry the unit it was selected with (plus
any Independent Characters that have joined it).