Zhang's Question on Howson and Strongly Howson Groups
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Statement
A group is Howson if the intersection of any two finitely generated subgroups is finitely generated, and strongly Howson if the rank of that intersection is bounded in terms of the two ranks. Zhang asked whether the two coincide for finitely generated groups. They do not.
Context
A recently posed question separating two natural subgroup-intersection properties in combinatorial group theory.
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The disclosure credits ChatGPT with constructing the example in Section 2, which is the separating example the paper turns on, while stating the proofs are the authors'.
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