2016/10/28 by Paul Sobaje, Sobaje, Paul
Computer Science · Mathematics · #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Limits and Structures in Graph Theory #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.1610.09323
openalex publication_date 2016/10/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the relationship between Donkin's Tilting Module Conjecture and Donkin's Good (p,r)-Filtration Conjecture. Our main result was motivated by a result of Kildetoft and Nakano showing that the Tilting Module Conjecture implies one direction of the Good (p,r)-Filtration Conjecture. We observe that the converse nearly holds; in particular a weaker version of the Good (p,r)-Filtration Conjecture implies the Tilting Module Conjecture.