Cohomology of group theoretic Dehn fillings II: A spectral sequence

29 Jul 2019  ·  Bin Sun ·

This is the second paper in a series of three papers aiming to study cohomology of group theoretic Dehn fillings. In the present paper, we derive a spectral sequence for Cohen-Lyndon triples which can be thought of as a refined version of the classical Lyndon-Hochschild-Serre spectral sequence in the settings of group theoretic Dehn fillings. In the next paper arXiv:1908.01290, we will apply this spectral sequence to study cohomological finiteness properties of Dehn fillings of acylindrically hyperbolic groups.

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Group Theory