Hello and welcome!
you've touched so wide historical problem, that it can make brains storm here soon. Just to start, while I'm during morning hurry:
about executioner's swords: there is a book about them, quite good I think, unfortunately in Polish. If my time will let me, I will find it for you and I will quote some passages.
Nomine Domini, In Nomine Domini : maybe it is a luck, but I was just reading article by Mr. Ada Bruhn Hoffmeyer "From Medieval Sword to Renaissance Rapier" (Gladius, Tome II, Granada 1963). There he has mentioned this inscription. I think you'll find there some other references too.
It's only for start, while as I mentioned it, it is very very wide historical aspect of armee blanche in general. If you started to dig in it, you won't get out of this soon

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Sorry for casual references, but I'm just awake, in hurry and intrigued by your thread, and I just couldn't ignore it
regards!