- #1

vikkivi

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## Homework Statement

a) Classify all groups of order 51.

b) Classify all groups of order 39.

## Homework Equations

Sylow theorems.

## 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!