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arXiv · 2604.04549

Homological Isoperimetric Inequalities for Kernels of Free Extensions of Type $FP_2$

Jakub F. Tucker
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Abstract

We define homological area-radius pairs with surface diagrams. Using these, we adapt a proof of Gersten and Short \cite{gersten2002} to obtain a homological isoperimetric inequality for subgroups of type $FP_2$ which appear as kernels of free extensions.

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Jakub F. Tucker. 2026-04-06. Homological Isoperimetric Inequalities for Kernels of Free Extensions of Type $FP_2$. https://arxiv.org/abs/2604.04549

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