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On Vanishing and Cofiniteness of Generalized Local Cohomology Modules
Authors:S H Hassanzadeh
Institution:1. Institut de Mathematiques, Universite Paris 6 , Paris , France;2. Faculty of Mathematical Science and Computer , Tarbiat Moallem University , Tehran , Iran
Abstract:Pure braid groups and pure mapping class groups of a punctured sphere have many features in common. In this article, we study the graded Lie algebra of the descending central series of the pure mapping class group of a 2-sphere. A simple presentation of this Lie algebra is obtained.
Keywords:Cofiniteness  Generalized local cohomology  Spectral sequence
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