33 citations · 343 across the 69 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 $\…
Freyd's generating hypothesis for groups with periodic cohomology
Sunil K. Chebolu, J. Daniel Christensen, Ján Mináč
Let be a finite group and let be a field whose characteristic divides the order of . Freyd's generating hypothesis for the stable module category of is the state…
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…