/sci/ - Science & Math

>>12146574
Just write down
>I never had a tomboy girlfriend to make fun of me for studying and being a nerd while simulataneously encouraging me to follow my dreams and aspirations.

>>11488836
>Does there exist an uncountable group with automorphism group C2?
I don't think so. Either the group is non-abelian or the group is abelian.
The obstruction to the former is that if [math]ab \neq ba [/math], conjugation by a is an automorphism which fixes [math]a[/math] and moves [math]b[/math], while conjugation by [math]b[/math] fixes [math]b[/math] and moves [math]a[/math], so you by default already have two automorphisms.
I think you can do some structure of abelian groups arguments for the latter.