For step 4 of this problem (ch. 7, 6E contemporary abstract algebra 9th edition) How did...
For step 4 of this problem (ch. 7, 6E contemporary abstract algebra 9th edition) How did they arrive at a^10, I understand that the group must include e and a^5, but shouldn't it also include the inverse of a^5? where did a^10 come from?
Homework Answers
Group includes all powers of a hence (a^5)^2=a^10.
And complete solution is given below
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