Recent content by williamaholm

still confused "doesn't this example have the form of (g1g'1, g1g'2, g1g'3, g1g'4, g2g'1, g2g'2, g2g'3..." g1 is being distributed among all of g' s elements and then g2 gets distributed among all of g' s elements and this continues for all g elements. rather than g1g'1, g2g'2, g3g'3, where...

greetings, I'm confused on how to perform external direct products. I'm not sure how to symbolize this operation so I'll use +. My text explains it as: G1+G2+...+Gn ={(g1,g2,...gn)}|giEGi}, where...

Greetings, I just stumbled upon this site and thought someone might be able to help me. How many elements of order 5 are in S7? Are the elements permutations? I thought that S7 was a permutation of order 7. Also, are permutations cyclic groups? I know that permutations are a group and can be...