# Download Groups of cohomological dimension one (Lecture notes in mathematics, 245) eBook

## by **Daniel E Cohen**

Part of the Lecture Notes in Mathematics book series (LNM, volume 245).

Part of the Lecture Notes in Mathematics book series (LNM, volume 245).

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More by Daniel E. Cohen. Combinatorial Group Theory: A Topological Approach (London Mathematical Society Student Texts). Computability and Logic (Mathematics and Its Applications).

dimension one (Lecture notes in mathematics, 245). Librarian Note: There is more than one author in the Goodreads database with this name.

Groups of cohomological dimension one (Lecture notes in mathematics, 245). 3540057595 (ISBN13: 9783540057598). Be the first to ask a question about Groups of Cohomological Dimension One. Lists with This Book. This book is not yet featured on Listopia. This profile may contain books from multiple authors of this name. Other authors publishing under this name are

Is any group of homological dimension one locally free? .

Is any group of homological dimension one locally free? Some interesting results concerning that problem have been obtained in and, by embedding the integral group ring ZG of the group G into the associated von Neumann algebra NG and the algebra UG of unbounded operators which are affiliated to NG. We note that a group G is known to be finitely generated if and only if the augmentation ideal IG is a finitely generated ZG-module, whereas G has homological dimension one if and only if I G is a flat ZG-module.

Groups of cohomological dimension one (LNM0245, Springer 1972). Категория: Lecture notes. Категория: Mathematics, Algebra, Homology. 484 Kb. Combinatorial group theory: A topological approach.

First Cohomology of Some Infinitely Generated Groups.

oceedings{Cohen1972GroupsOC, title {Groups of Cohomological Dimension One}, author {Daniel E. Cohen}, year {1972} }. Daniel E. First Cohomology of Some Infinitely Generated Groups. Samuel Vance Eastridge.

Groups of Cohomological Dimension One (Lecture Notes in Mathematics, 245). Kechris, A. S. and Miller, B. .Topics in Orbit Equivalence Theory (Lecture Notes in Mathematics, 1852). Springer, Berlin, 1972. Springer, Berlin, 2004. Elements of the Theory of Representations.

Free groups have cohomological dimension one, so it is natural to ask whether the converse holds. This question became of extra interest after it was shown that the similar result holds for pro-p groups.