3
$\begingroup$

Let $Z * Z/2Z = \langle a, b | b^2=1\rangle$ be represented by $X = S^1\vee RP^2$ i.e. the wedge of the unit circle and the real projective plane.

Let $H$ be the smallest normal subgroup containing $b$.

Question:

How can we construct a covering space $\tilde X$ corresponding to $H$ by sketching a good picture for $\tilde X$ that covers X.

Any help is really appreciated.

Thanks

  • 0
    Whoops, I thought he was asking for the universal cover.2012-01-22

0 Answers 0