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Determine the number of cyclic subgroups of order 15 in <math>\scriptstyle Z_{90}\oplus Z_{36}</math>.
 
Determine the number of cyclic subgroups of order 15 in <math>\scriptstyle Z_{90}\oplus Z_{36}</math>.
  
I found that there were 16 total: 8 from when |a| = 5, |b| = 3 and 8 more when |a| = 15, |b| = 1.
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I found that there were 32 total: 8 from when |a| = 5, |b| = 3 and 8 more when |a| = 15, |b| = 1 or 3.

Revision as of 20:33, 8 October 2008

Determine the number of cyclic subgroups of order 15 in $ \scriptstyle Z_{90}\oplus Z_{36} $.

I found that there were 32 total: 8 from when |a| = 5, |b| = 3 and 8 more when |a| = 15, |b| = 1 or 3.

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Ph.D. 2007, working on developing cool imaging technologies for digital cameras, camera phones, and video surveillance cameras.

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