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edited Mar 28, 2018 at 15:11

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Non Countable non-commutative groups such that all proper subgroups are commutative

For which infinite cardinals $\kappa$ isIs there aan infinite non-commutative group $G$ with $|G| = \kappa$ such that every proper subgroup of $G$ is commutative?

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asked Mar 28, 2018 at 14:59

Dominic van der Zypen

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Non-commutative groups such that all proper subgroups are commutative

For which infinite cardinals $\kappa$ is there a non-commutative group $G$ with $|G| = \kappa$ such that every proper subgroup of $G$ is commutative?

gr.group-theory set-theory