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For this problem, does anyone know what the new conjecture is supposed to be? I thought it might just be that the order of r multiplied by the order of s is NOT the order of rs, but I wasn't sure if there was another conjecture that could be made. --[[User:Clwarner|Clwarner]] 21:14, 3 February 2009 (UTC) | For this problem, does anyone know what the new conjecture is supposed to be? I thought it might just be that the order of r multiplied by the order of s is NOT the order of rs, but I wasn't sure if there was another conjecture that could be made. --[[User:Clwarner|Clwarner]] 21:14, 3 February 2009 (UTC) | ||
+ | |||
+ | ---- | ||
+ | The conjecture I made was that <math>\scriptstyle gcd(r,s)=1\ \leftrightarrow\ \mid U(r)\mid*\mid U(s)\mid=\mid U(rs)\mid</math>. | ||
+ | :--[[User:Narupley|Narupley]] 05:01, 4 February 2009 (UTC) |
Revision as of 00:01, 4 February 2009
For this problem, does anyone know what the new conjecture is supposed to be? I thought it might just be that the order of r multiplied by the order of s is NOT the order of rs, but I wasn't sure if there was another conjecture that could be made. --Clwarner 21:14, 3 February 2009 (UTC)
The conjecture I made was that $ \scriptstyle gcd(r,s)=1\ \leftrightarrow\ \mid U(r)\mid*\mid U(s)\mid=\mid U(rs)\mid $.
- --Narupley 05:01, 4 February 2009 (UTC)