I have a proof presentation in HIGH detail in front of the math department at the end of this semester in order to advance to the next math course offered at my university.
CLARIFICATION: Does not count as a grade. We are allowed to use resources. I am not violating any kind of rule here.
Seems pretty straight forward but since they want me to completely dissect the proof and of course, prove I know what I'm talking about, I thought I should post it here. Is there any details I should make sure to include? I am not asking for you to do it for me, more like give me a few pointers.
Let G be a group. If H and K are both normal subgroups of G, prove HK is a normal subgroup of G.