Cohomology groups of the class groups over a ℤₚ extension
Soogil Seo (2005)
Acta Arithmetica
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Soogil Seo (2005)
Acta Arithmetica
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Roger Gómez-Ortells (2014)
Colloquium Mathematicae
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We show that the second group of cohomology with compact supports is nontrivial for three-dimensional systolic pseudomanifolds. It follows that groups acting geometrically on such spaces are not Poincaré duality groups.
Stefan Kühnlein (2003)
Acta Arithmetica
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Stefan Kühnlein (2003)
Acta Arithmetica
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Claus Scheiderer (1996)
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John W. Rutter (1976)
Colloquium Mathematicae
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Pierre Berthelot (2012)
Rendiconti del Seminario Matematico della Università di Padova
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Alejandro Adem, John Maginnis (1990)
Mathematische Annalen
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Urs Würgler (1979)
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Filippo Callegaro (2014)
Annales de la faculté des sciences de Toulouse Mathématiques
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The aim of this short survey is to give a quick introduction to the Salvetti complex as a tool for the study of the cohomology of Artin groups. In particular we show how a spectral sequence induced by a filtration on the complex provides a very natural and useful method to study recursively the cohomology of Artin groups, simplifying many computations. In the last section some examples of applications are presented.
Corrado De Concini, Claudio Procesi, Mario Salvetti, Fabio Stumbo (1999)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Jon F. Carlson (1995)
Mathematische Zeitschrift
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D.L. JOHNSON (1969)
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Gerhard Preuß (1983)
Monatshefte für Mathematik
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