Cohomology of group theoretic Dehn fillings I: Cohen-Lyndon type theorems

This is the first paper of three papers in a row aiming to study cohomology of group theoretic Dehn fillings. In the present paper, we prove a particular free product structure, which is termed the Cohen-Lyndon property, of Dehn filling kernels. As an application, we describe the structure of relati...

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Detalles Bibliográficos
Autor Principal: Sun, B
Formato: Journal article
Idioma:English
Publicado: Elsevier 2019
Descripción
Summary:This is the first paper of three papers in a row aiming to study cohomology of group theoretic Dehn fillings. In the present paper, we prove a particular free product structure, which is termed the Cohen-Lyndon property, of Dehn filling kernels. As an application, we describe the structure of relative relation modules of Dehn fillings.