Which one should i get?

Ok i need a digital camers to use for when i go to indoor events at the arenas in my town. It has to be non SLR, cause SLRs are not allowed in. Its not too dark inside( a little, not dark dark), except during some entrances(wrestling events). There is obviously some action, being sports and all.I go to wrestling, which means they're not always moving fast.I dont know a lot about dig cameras, just the basics..i would like a good zoom, if possible, at least 15x...Could someone tell me a good non SLR camera to get for this? obviously i want the best i can get (zoom, shutter speed, fast lens) for my modest budget..around $500, at most..now, i know im not going to get a fantastic indoor camera that takes fantastic indoor sports pictures for that price, especially in a compact, and not SLR, camera... but i just need to know the best that i CAN get within those parameters...important things to me are zoom, speed, image stabilization, FPS,..ect. If it means anything, i rarely print out pictures i take in picture form ; i usually just put them on a picture disk, and upload them to FB, or whatever, then keep the picture disk in my archives in case i want or need to upload, show them, or print any. So basically most of my pictures are kept in digital format, if that matters as far as quality of camera features. Anyway i want to know what is the best i can get ?