I'd like to ask can we characterize the structure of finitely generated infinite $p$-group which has a unique subgroup of order $p$?
Can we say that these group are residually nilpotent?
Any comments are welcome.
I'd like to ask can we characterize the structure of finitely generated infinite $p$-group which has a unique subgroup of order $p$?
Can we say that these group are residually nilpotent?
Any comments are welcome.