• Corpus ID: 227239186

Homological Dehn functions of groups of type $FP_2$.

@article{Brady2020HomologicalDF,
  title={Homological Dehn functions of groups of type \$FP\_2\$.},
  author={Noel Brady and Robert P. Kropholler and Ignat Soroko},
  journal={arXiv: Group Theory},
  year={2020}
}
We prove foundational results for homological Dehn functions of groups of type $FP_2$ such as superadditivity and the invariance under quasi-isometry. We then study the homological Dehn functions of Leary's groups $G_L(S)$ providing methods to obtain uncountably many groups with a given homological Dehn function. This allows us to show that there exist groups of type $FP_2$ with quartic homological Dehn function and unsolvable word problem. 

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