Acronym for Alpha Male Other Guy. This person is just another "alpha male" who tries to gain a girls attention by being overly confident and masculine. He is often successful, but he is also often annoying to attractive women who are approached by this type of guy every day.
This can also be a verb used to describe the way a group of girls disqualifies and dismisses an AMOG.
"I was sitting with some friends and this AMOG came over telling Angie how they had perfect timing meeting each other and what a great night it was going to be."
"There was only one group of hot girls there last night. I started talking to this blonde in the group. I asked her if she had a boyfriend and then it was over. Her friends totally AMOGed me and took her away to the dancefloor."
"Always NEG the target so her friends don't AMOG you."