.
"6And the eleven disciples went to Galilee, to the mount where Jesus appointed them, 17and having seen him, they bowed to him, but some did waver.
18And having come near, Jesus spake to them, saying, `Given to me was all authority in heaven and on earth;
19having gone, then, disciple all the nations, (baptizing them -- to the name of the Father, and of the Son, and of the Holy Spirit,
20teaching them to observe all, whatever I did command you,) and lo, I am with you all the days -- till the full end of the age.'" Young's Literal Translation
Grammatically it would be incorrect to uses NAMES since it is directing three separate SINGLE names. The words would best be simplified by making it three sentences.
Baptise them in the name of the Father. Baptise them in the name of the Son. Baptise them in the name of the Holy SPirit.
In no wise does it create the trinity as a triune GOD.
Regards,
Scott