There is a clearly an error in this example. Do you see what it is?
Example taken from
Abstract Algebra
Theory and Applications
Thomas W. Judson
Stephen F. Austin State University
February 14, 2009
( See comment for further explanation )
Tuesday, November 24, 2009
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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.