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Sep 18, 2020 at 13:04 comment added Kasper Andersen Can anyone give a precise reference to the Carlson-Thevenaz paper (I didn't manage to find it in there)? Another question: Isn't $P=\mathbb{Z}/4\times \mathbb{Z}/4$, $E=\mathbb{Z}/2\times \mathbb{Z}/2$ a counterexample?
May 20, 2013 at 20:01 comment added Tobias Kildetoft Do you still want the subgroup to be maximal (with respect to being elementary abelian)? Otherwise, You will certainly not get them to have cyclic quotients.
May 20, 2013 at 19:40 comment added Jai Mendas Yes, this is what I mean by maximal.
May 20, 2013 at 13:37 comment added Tobias Kildetoft By maximal here, you mean that $E$ is elementary abelian of rank $2$, and there are no larger elementary abelian subgroups?
May 20, 2013 at 13:19 history asked Jai Mendas CC BY-SA 3.0