Paul reminds the Corinthian believers that they are to live in unity with each other and that the message of the cross of Christ, not baptism by people, is what saves.
# brothers
Here this means fellow Christians, including both men and women.
"Name" here is a metonym for the person of Jesus Christ. Alternate translation: "by means of our Lord Jesus Christ" (See: [[rc://en/ta/man/translate/figs-metonymy]])