Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

I'm trying to classify all 3-fold covering for the fundamental group $G=\langle a,b: abab^{-1}\rangle$. By using fiber action, we can make this by choosing a and act on the set with 3 elements but I'm confused how should I find the deck transformation for every cover? For example when I choose $a=(1)$ act trivially on the set $\{1,2,3\}$, what's deck transformation in this case?


share|improve this question
To produce aprostrophes here (and everywhere, in fact!) you need to type ' and not `: the latter means something else here, as explained on math.stackexchange.com/editing-help –  Mariano Suárez-Alvarez May 9 '12 at 0:16
You need to describe the action of $a$ and of $b$ to describe a covering. –  Mariano Suárez-Alvarez May 9 '12 at 0:18
I know how to describe the action, but how can I find deck transformation from this action? –  Danny May 9 '12 at 0:48

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.