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University Park
Altoona

Thursday, August 28, 2008
5:30 pm, 150 Hawthorn

Karl Lorensen
Penn State University

Groups with the same cohomology as their profinite completions

Abstract: For any positive integer $n$, $\mathcal{A}_n$ is the class of all groups $G$ such that, for $0\leq i\leq n$, $H^i(\hat{G},A)\cong H^i(G,A)$ for every finite discrete $\hat{G}$-module $A$. We describe certain types of free products with amalgam and HNN extensions that are in some of the classes $\mathcal{A}_n$. In addition, we investigate the residually finite groups in the class $\mathcal{A}_2$.

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We meet weekly on Thursday afternoons, alternating between Penn State Altoona and Penn State University Park. If you are interested in giving a talk in our seminar please contact one of the coordinators for the Fall 2008 semester: Wojtek Dorabiala and Aissa Wade.

 

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Contact: Wojciech Dorabiala; Page last updated: August 2008