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

Fuente: arXiv
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Autore principale: Tucker, Jakub F.
Natura: Preprint
Pubblicazione: 2026
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author Tucker, Jakub F.
author_facet Tucker, Jakub F.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2604_04549
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Homological Isoperimetric Inequalities for Kernels of Free Extensions of Type $FP_2$
Tucker, Jakub F.
Group Theory
20J05
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.
title Homological Isoperimetric Inequalities for Kernels of Free Extensions of Type $FP_2$
topic Group Theory
20J05
url https://arxiv.org/abs/2604.04549