Punishment (epitimia). Late word for old Greek to epitimion (so papyri), from epitimaō, to show honour to, to award, to adjudge penalty. Only here in N.T.
By the many (hupo tōn pleionōn). By the more, the majority. If Paul refers to the case in 1Co 5:1-13, they had taken his advice and expelled the offender.