3 papers
math.RT2025
The Balmer spectrum and telescope conjecture for infinite groups
Gregory Kendall
We determine the Balmer spectrum of dualisable objects in the stable module category for groups of type and show that the telescop…
math.RT2024
(Co)stratification of stable categories for infinite groups
Gregory Kendall
We classify the localising tensor ideal and colocalising hom-closed subcategories of the stable module category for groups. Along the way we develop techn…
math.CT2024
The stable module category and model structures for hierarchically defined groups
Gregory Kendall
In this work we construct a compactly generated tensor-triangulated stable category for a large class of infinite groups, including those in Kropholler's hierarchy $\mathrm{LH}\mat…