All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Previous Page 26 Next

Displaying 501 – 520 of 834

Showing per page

Stable rational cohomology of automorphism groups of free groups and the integral cohomology of moduli spaces of graphs.

Craig A. Jensen (2002)

Publicacions Matemàtiques

It is not known whether or not the stable rational cohomology groups H*(Aut(F∞);Q) always vanish (see Hatcher in [5] and Hatcher and Vogtmann in [7] where they pose the question and show that it does vanish in the first 6 dimensions). We show that either the rational cohomology does not vanish in certain dimensions, or the integral cohomology of a moduli space of pointed graphs does not stabilize in certain other dimensions. Similar results are stated for groups of outer automorphisms. This yields...

Stacks of group representations

Paul Balmer (2015)

Journal of the European Mathematical Society

We start with a small paradigm shift about group representations, namely the observation that restriction to a subgroup can be understood as an extension-of-scalars. We deduce that, given a group G , the derived and the stable categories of representations of a subgroup H can be constructed out of the corresponding category for G by a purely triangulated-categorical construction, analogous to étale extension in algebraic geometry. In the case of finite groups, we then use descent methods to investigate...

Strong boundedness and algebraically closed groups

Barbara Majcher-Iwanow (2007)

Commentationes Mathematicae Universitatis Carolinae

Let G be a non-trivial algebraically closed group and X be a subset of G generating G in infinitely many steps. We give a construction of a binary tree associated with ( G , X ) . Using this we show that if G is ω 1 -existentially closed then it is strongly bounded.

Currently displaying 501 – 520 of 834