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Thread: <h>-potent problem

  1. #1
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    <h>-potent problem

    Let $\displaystyle A$ be a group with subset $\displaystyle H=\langle h \rangle \times C$ where $\displaystyle h$ has infinite order and $\displaystyle C$ is finite central subgroup in $\displaystyle A$.
    Suppose $\displaystyle A$ is $\displaystyle \langle h \rangle$-potent.
    Can $\displaystyle A/C$ be $\displaystyle \langle h \rangle$-potent?
    Last edited by deniselim17; Nov 9th 2017 at 01:43 AM.
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  2. #2
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    Re: <h>-potent problem

    It appears that neither "[tex]" nor "[math]" is currently working here. Intead use "$" as delimiters:

    Quote Originally Posted by deniselim17 View Post
    Let $A$ be a group with subset $H=\langle h \rangle \times C$ where $h$ has infinite order and $C$ is finite central subgroup in $A$.
    Suppose $A$ is $\langle h \rangle$-potent.
    Can $A/C$ be $\langle h \rangle$-potent?
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