Open University pure maths study and research blog
Abstract Algebra Theory and Applications Thomas W. Judson Stephen F. Austin State University February 14, 2009
Group contains element (1,2,3)*(4,5); call this element p.Thenp^2 = (1,3,2)p^3 = (4,5)p^4 = (1,2,3)p^5 = (1,3,2)(4,5)p^6 = ()So the group is cyclic of order 6 and not S3 as the example suggests.
Group contains element (1,2,3)*(4,5); call this element p.
ReplyDeleteThen
p^2 = (1,3,2)
p^3 = (4,5)
p^4 = (1,2,3)
p^5 = (1,3,2)(4,5)
p^6 = ()
So the group is cyclic of order 6 and not S3 as the example suggests.