The invention relates to a press group (10) on a pulp dryer. The press group comprises a couch roll press section (11) equipped with a suction roll (14) via which a forming wire (29) is adapted to run, at least two press nips (12, 13) arranged after the couch roll press section, at least one press nip (12) being equipped with a suction roll (15) and at least on one side with a common fabric loop (16). At least two press nips following the couch roll press section are single press nips (12', 13'). The invention also relates to a pulp dryer.