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Oct 30, 2015 at 20:59 comment added Gerhard Paseman Uh, if $q=1$, the group is no longer infinitely generated. I think the condition $1 \lt q \lt p$ shows where the interesting part is. I do like that your answer does cover the case $q=1$. Gerhard "For My Idea Of Interesting" Paseman, 2015.10.30
Oct 30, 2015 at 20:37 vote accept Aeryk
Oct 30, 2015 at 19:29 history answered Julian Rosen CC BY-SA 3.0