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Demonstrates the implications of the BNS invariant in Kähler groups, indicating crucial simplifications in group theory understanding.
We give several applications of the Bieri–Neumann–Strebel invariant on Kähler groups. Specifically, we provide a simpler proof of the Napier–Ramachandran theorem on the HNN decomposition of Kähler groups and show that amenable Kähler groups have an empty complement of the BNS invariant.
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Yuan Liu (2025) studied this question.
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