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?
It appears that neither "[tex]" nor "[math]" is currently working here. Intead use "$" as delimiters: Originally Posted by deniselim17 Let$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?