Tags » Group Theory
I love the phrase “THE fundamental theorem of…” It’s so over the top and hyperbolic, which is unlike most mathematical writing you’ll run into. So you know that it’s important if you run into… 1,072 more words
Let G be a p-group and H a nontrivial normal subgroup. Prove that is nontrivial.
Let G act on H by conjugation. Since H is a normal subgroup, this is a well-defined group action since for all . 36 more words