Toma vs Taima confusion

[Ron STL]

Referring to NBTHK's October issue of Token Bijutsu, first kantei sword discussed is mumei, identified as TOMA. Reading how this attribution was arrived at, reference to Toma group appears to be a specific group. Initially, never hearing of a Toma group before, I searched for more information but could not find one article on them. I soon realized that the kanji for TOMA is the same kanji as for Yamato TAIMA. I'm hoping someone can explain if Toma is a specific branch of Taima or perhaps just another name used For Taima (which seems unlikely). Also, if there is more discussion on this topic available, please direct me to it. Help will be greatly appreciated!

Ron STL

[Toryu2020]

Ron - in Japanese the two characters are read individually as To and Ma. In sword language the two characters together are read Taema...

[Ron STL]

That's what I thought, but this was in Token Bijutsu and therefore should be correct. This makes me think the translator just messed up. Perhaps a corrected translation will be offered. Meanwhile, Taima it is. 

Ron STL