23 citations · 44 across the 34 of their papers we have counts for
10 papers · 1 filter
Ghosts and Strong Ghosts in the Stable Module Category
Jon F. Carlson, Sunil K. Chebolu, Jan Minac
Suppose that is a finite group and is a field of characteristic . A ghost map is a map in the stable category of finitely generated -modules which induces the zero…
Representations of The miraculous Klein group
Sunil K. Chebolu, Jan Minac
The Klein group contains only four elements. Nevertheless this little group contains a number of remarkable entry points to current highways of modern representation theory of grou…
Reciprocity laws for representations of finite groups
Sunil K. Chebolu, Jan Minac, Clive Reis
Much has been written on reciprocity laws in number theory and their connections with group representations. In this paper we explore more on these connections. We prove a "recipro…
Auslander-Reiten sequences for homotopists and arithmeticians
Sunil Chebolu, Ján Mináč
We introduce Auslander-Reiten sequences for group algebras and give several recent applications. The first part of the paper is devoted to some fundamental problems in Tate cohomol…
Freyd's generating hypothesis with almost split sequences
Jon F. Carlson, Sunil K. Chebolu, Jan Minac
Freyd's generating hypothesis for the stable module category of a non-trivial finite group G is the statement that a map between finitely generated kG-modules that belongs to the t…
Finite generation of Tate cohomology
Jon F. Carlson, Sunil K. Chebolu, Jan Minac
Let G be a finite group and let k be a field of characteristic p. Given a finitely generated indecomposable non-projective kG-module M, we conjecture that if the Tate cohomology $\…