Joshua Grochow on Nostr: I mean, sure, but I feel like that fits in the following analogy cohomology class : ...

I mean, sure, but I feel like that fits in the following analogy

cohomology class : automorphism coming from a crossed hom
::
nontrivial coho class : non-inner automorphism coming from a crossed hom

And then the thing about class-preserving is a subgroup of automorphisms coming from crossed homs