Register to reply

Subsets and Groups

by Nosjack
Tags: groups, subsets
Share this thread:
Nosjack
#1
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?
Phys.Org News Partner Science news on Phys.org
Security CTO to detail Android Fake ID flaw at Black Hat
Huge waves measured for first time in Arctic Ocean
Mysterious molecules in space
vela
#2
May22-12, 06:03 AM
Emeritus
Sci Advisor
HW Helper
Thanks
PF Gold
P: 11,684
You have only four elements. Why not just write out the entire multiplication table and see if you have a group on your hands?


Register to reply

Related Discussions
Subsets of symmetric groups Sn Linear & Abstract Algebra 2
Group Theory Question involving nonabelian simple groups and cyclic groups Calculus & Beyond Homework 1
Fundamental groups of subsets of S^3 Calculus & Beyond Homework 0
Groups, Normalizer, Abstract Algebra, Dihedral Groups...help? Calculus & Beyond Homework 12
Wallpaper Groups, Free Groups, and Trees Introductory Physics Homework 13