If you are getting only 13.4volts, and you think the battery is fully charged, try running the battery down a little. Switch off and put the headlamps on for 5 minutes. Then check the voltage with the car running.
At tickover the voltage also depends on the tickover speed. Too low and the alternator will struggle to produce enough voltage. 850-875 is a good idle speed.
Also check the voltage at 2000 revs.
David