
#1
May2212, 03:08 AM

P: 1

Hey guys, I'm having an issue with a question, namely
Let x be a subset of S_{4}. 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 S_{4} would help? 



#2
May2212, 06:03 AM

Emeritus
Sci Advisor
HW Helper
Thanks
PF Gold
P: 11,521

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 