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Subsets and Groups

by Nosjack
Tags: groups, subsets
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May22-12, 03:08 AM
P: 1
Hey guys, I'm having an issue with a question, namely

Let x be a subset of S4. Is x a group?

x = {e, (123), (132), (12)(34)}

I don't really understand how I can test the 4 axioms of a group and how x being a subset of S4 would help?
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May22-12, 06:03 AM
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You have only four elements. Why not just write out the entire multiplication table and see if you have a group on your hands?

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