23 citations · 44 across the 34 of their papers we have counts for
6 papers · 1 filter
The generating hypothesis for the stable module category of a -group
David J. Benson, Sunil K. Chebolu, J. Daniel Christensen +1
Freyd's generating hypothesis, interpreted in the stable module category of a finite p-group G, is the statement that a map between finite-dimensional kG-modules factors through a…
Groups which do not admit ghosts
Sunil K. Chebolu, J. Daniel Christensen, Jan Minac
A ghost in the stable module category of a group G is a map between representations of G that is invisible to Tate cohomology. We show that the only non-trivial finite p-groups who…
Ghosts in modular representation theory
Sunil K. Chebolu, J. Daniel Christensen, Jan Minac
A ghost over a finite p-group G is a map between modular representations of G which is invisible in Tate cohomology. Motivated by the failure of the generating hypothesis---the sta…
Refinements of chromatic towers and Krull-Schmidt decompositions in stable homotopy categories
Sunil K. Chebolu
We study the triangulated subcategories of compact objects in stable homotopy categories such as the homotopy category of spectra, the derived categories of rings, and the stable m…
Classifying subcategories of modules over a PID
Sunil K. Chebolu
Let be a commutative ring. A full additive subcategory $\C$ of -modules is triangulated if whenever two terms of a short exact sequence belong to $\C$, then so does the thir…
Thick subcategories in stable homotopy theory
Sunil K. Chebolu
In these lectures we give an exposition of the seminal work of Devinatz, Hopkins and Smith which is surrounding the classification of the thick subcategories of finite spectra in s…