Question: Let S6 be given in cyclic notation by (12)(34)(56). Find elements and in S6 so that: = , = , and = , does not

Let S6 be given in cyclic notation by (12)(34)(56). Find elements and in S6 so that:

= , = , and = ,

does not belong to< , >, dose not belong to <, >, and does not <, >.

Repeat the previous question but instead the condition that = is replaced by 6= . What does this say about the centralizer of (12)(34)(56)?

so confused about these questions pls help

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