Let . Show that is isomorphic to .
Last edited by Chris L T521; Nov 21st 2009 at 09:44 PM. Reason: TeXified question
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Take then let and we have iff and the least such number is (the min. comm. mult.) and it's well known that then since ...
The map Z12 -> G defined by n -> (n mod 4, n mod 3 ) is 1:1 and onto. Alternatively, G-> Z12 defined by (a,b) -> 3*a + 4*b mod 12 should also be 1:1 and onto.
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