(Co)stratification of stable categories for infinite groups
Gregory Kendall

TL;DR
This paper classifies key subcategories within the stable module category for infinite groups, specifically for LH F groups, and develops techniques applicable to other infinite group categories.
Contribution
It provides a classification of localising tensor ideal and colocalising hom-closed subcategories for the stable module category of LH F groups, introducing new methods for infinite groups.
Findings
Classification of subcategories for LH F groups
Development of techniques for other infinite group categories
Framework applicable to broader classes of infinite groups
Abstract
We classify the localising tensor ideal and colocalising hom-closed subcategories of the stable module category for groups. Along the way we develop techniques to provide similar classifications for other categories of infinite groups.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Operator Algebra Research
