List questions from complete-groups | MathQA

Does every finite non-trivial complete group have even order?

Published on 05 Sep 2018 - 17:34

For what $n \in \mathbb{N}$ is $ \operatorname{Hol}(C_2^n)$ complete?

Published on 22 Feb 2026 - 20:50

Injection of $\mathbb{Z}$ into a p-adically complete abelian group

Published on 08 May 2019 - 7:19

Does there exist a non-trivial group that is both perfect and complete?

Published on 16 Jun 2019 - 13:24

If $G$ is complete, then the holomorph of $G$ is isomorphic to $G\times G$.

Published on 22 Feb 2026 - 20:51