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Jun 29, 2016 at 9:45 comment added yakov (1) I'd like to recall the old problem of study of the $p$-groups all of whose maximal subgroups are characteristic. (2) Does there exist a noncyclic group of exponent $p$, all of whose maximal subgroups are characteristic? (3) Is it true that if all subgroups of order $p$ from $\text{Z}(G)$ are characteristic in the $p$-group $G$, then $|\Omega_1(\text{Z}(G))|$ is bounded?
Jul 6, 2015 at 20:50 history answered Marty Isaacs CC BY-SA 3.0