Search the corpus

    Generators of covering subgroups of $S^1\vee S^1$

    P-O2J6S

    Area
    Topology
    Topics
    Covering Spaces, Groups
    Status
    draft

    1. Generators of the subgroups:

    2. \(\left< ab^{-1}, aba^{-2}, a^3b^{-1}a^{-2}, a^3\right>\)

    3. \(\left< b, aba^{-1}, a^2ba^{-2},a^3\right>\)

    4. \(\left<b^2, ba, a^3, aba^{-1}\right>\)

    5. \(\left<b\right>\)

    6. \(\left<ba, b^{-1}a\right>\)

    Relevant covers:

    1. 1512964258737
    2. 1512964650272
    3. 1512965253808
    4. 1512965792844
    5. Let \(T\) be a copy of the Cayley Tree on two on the two generators \(a, b\), then: 1512966232873
    Solution

    The correspondence between the listed subgroups and the numbered covers depends on the covering diagrams and their edge labels.

    Source Collections