What are some arm exercises I can do to get rid of the flab under my arms?

Ok...first off, half these answers are stupid, i'm in the fitness field and running won't help your triceps, that's the muscle that looks like you're flag waving....it's a muscle that needs to be alienated to work it, as in tricep dips, the post above describe how to do them very well, you will not get much tricep work though out of a pushup, better for the chest, and believe it or not your abs, to tricep extensions, many ways....hold a ten poud dumbell over the back of your head keep your elbows stable and lower the weight behind your back then up again, do this slowly, in between reps, shake it up a bit and add a three count pulse, little pulses then drop the weight behind you, you will feel a burning sensation that means the exercise is working, you can also hold a dumbell in one hand keeping the elbow still extend your arm to the rear and bring it back again....you can actually work your tricep muscle and see a difference even if you never do any cardio the two are not linked, so ...  more