Complete list of elements of s3

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In the group S3, let r = (123),s = (12),e = (1).

(a) Verify that {e, r, r2, s, rs, r2s} is a complete list of elements of S3.

(c) Show that with the relations sr = r2s, r3 = e, and s2 = e, any product can be evaluated by reducing it to an element in the list under (a)

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Reference no: EM13837643

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