(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

a) Classify all groups of order 51.

b) Classify all groups of order 39.

2. Relevant equations

Sylow theorems.

3. The attempt at a solution

a) C_{51}

b) Z_{3}X Z_{13}

and Z_{13}x Z_{3}, the semi-direct product with presentation <a,b|a^{13}=b^{3}=1, a^{b}=a^{3}>

Are these all of the groups? Am I missing any? Do you think these are sufficient answers?

Thank you!

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# Groups of order 51 and 39 (Sylow theorems).

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