Search the corpus

    Cayley graph of $\ZZ \times \ZZ$ as a covering space

    P-IXL2P

    Area
    Topology
    Topics
    Covering Spaces, Groups
    Status
    draft
    1. This is just the Cayley graph over \(\ZZ \cross \ZZ\), or essentially the integer lattice:1512966445331
    Solution

    The displayed graph is identified as the Cayley graph of \(\mathbb Z^2\). A covering-space computation also requires the base graph and covering map.