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Stuck on this question, struggling to see where to start.

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- Mar 23rd 2009, 07:44 AMmath_helpGroups
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Stuck on this question, struggling to see where to start. - Mar 23rd 2009, 12:16 PMOpalg
Each element of HK is of the form hk, where . But there may be more than one way of representing the same element as such a product.

So suppose that . Then say, where (because and also ).

Use that to count the number of ways that each element of HK can be expressed as a product of the form hk. - Mar 24th 2009, 03:55 AMHalmos Rules
- Mar 25th 2009, 12:39 PMmath_help
What about the counter-example?

- Mar 25th 2009, 12:46 PMOpalg