Let S3 be the symmetric group on three symbols. Let T and o be the cycles...

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Let S3 be the symmetric group on three symbols. Let T and o be the cycles T=(12), o=(123). (So o(1)=2, o(2)=3, etc). Let R=Z9, and form the group ring RG. Calculate the product (5T+40^2+07)(50^2+4e) in the group ring RG. Write the result as an R-linear combination of the group elements e,t,ot,to,0,0^2, what are the coefficients of t and ot? Let S3 be the symmetric group on three symbols. Let T and o be the cycles T=(12), o=(123). (So o(1)=2, o(2)=3, etc). Let R=Z9, and form the group ring RG. Calculate the product (5T+40^2+07)(50^2+4e) in the group ring RG. Write the result as an R-linear combination of the group elements e,t,ot,to,0,0^2, what are the coefficients of t and ot?

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Product Calculation 5 42 52 4e 552 4e 4252 4e 52 4e 252 20 204 162... View the full answer