Stratifying triangulated categories (2009)
Benson, Dave, Iyengar, Srikanth B., Krause, Henning
A notion of stratification is introduced for any compactly generated triangulated category T endowed with an action of a graded commutative noetherian ring R. The utility of this notion is...
Stratifying modular representations of finite groups (2008)
Benson, Dave, Iyengar, Srikanth B., Krause, Henning
We classify localising subcategories of the stable module category of a finite group that are closed under tensor product with simple (or, equivalently all) modules. One application is a proof of the...
MODULAR REPRESENTATION THEORY AUTUMN SESSION 2007, ABERDEEN (2008)
Let G be a finite group and let k be a commutative ring of coefficients. A representation of G over k is a group homomorphism G → GL(n, k) for some n. The group algebra kG consists of linear...
The Importance of a Team Approach in Working Effectively with Selective Mutism: A Case Study (2007)
Borger, Gary W., Bartley, Dana L, Armstrong, Norma, Kaatz, Debra, Benson, Dave
Selective Mutism (SM) in children and adolescents is characterized by a persistent failure to speak in certain social situations including at school or with friends despite the ability to speak and...
Local cohomology and support for triangulated categories (2007)
Benson, Dave, Iyengar, Srikanth B., Krause, Henning
We propose a new method for defining a notion of support for objects in any compactly generated triangulated category admitting small coproducts. This approach is based on a construction of local...
Detecting pro-p-groups that are not absolute Galois groups (2006)
Benson, Dave, Lemire, Nicole, Minac, Jan, Swallow, John
We present several constraints on the absolute Galois groups G_F of fields F containing a primitive pth root of unity, using restrictions on the cohomology of index p normal subgroups from a previous...
Detecting pro-p-groups that are not absolute Galois groups, expanded version (2006)
Benson, Dave, Lemire, Nicole, Minac, Jan, Swallow, John
We present several constraints on the absolute Galois groups G_F of fields F containing a primitive pth root of unity, using restrictions on the cohomology of index p normal subgroups from a previous...
Abstract. In the early nineteen eighties, Gunnar Carlsson proved the Segal conjecture on the stable cohomotopy of the classifying space BG of a finite group G. This led to an algebraic description of...
Spin modules for symmetric groups (1988)
In [2] I made a list of conjectures concerning decomposition numbers for symmetric groups, and including two "theorems to be substantiated". My purpose