The applications of Bieri-Neumann-Strebel invariant on K\"ahler groups
Abstract
We give several applications of the Bieri-Neumann-Strebel invariant on K\"ahler groups. Specifically, we provide simpler proof of the Napier-Ramachandran theorem on the HNN extension about K\"ahler groups and show that amenable K\"ahler groups have an empty complement of the BNS invariant.
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