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14.36 (1999)

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A group $G$ is called a $T$-group if every subnormal subgroup of $G$ is normal, while $G$ is said to be a $\overline{T}$-group if all of its subgroups are $T$-groups. Is it true that every non-periodic locally graded $\overline{T}$-group must be abelian?

Contributor: F. de Giovanni

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