Intersection problem for join-transitively subnormal subgroups

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This article describes an open problem in the following area of/related to group theory: [[{{{1}}}]]

History

This problem was proposed by Thompson and appears as Problem 8.64 in the Kourovka notebook.

Statement

Is the intersection of two Join-transitively subnormal subgroup (?)s also a join-transitively subnormal subgroup?

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