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(Co)stratification of stable categories for infinite groups

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arxiv 2410.23941 v1 pith:KIE5UPFF submitted 2024-10-31 math.RT math.CT

Gregory Kendall This is my paper · ORCID
classification math.RTmath.CT
keywords groupscategoriesinfinitestablealongcategoryclassificationsclassify
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abstract

We classify the localising tensor ideal and colocalising hom-closed subcategories of the stable module category for $\mathrm{LH}\mathfrak{F}$ groups. Along the way we develop techniques to provide similar classifications for other categories of infinite groups.

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Cited by 1 Pith paper

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  1. The Balmer spectrum and telescope conjecture for infinite groups

    math.RT 2025-04 conditional novelty 7.0 of 10

    For H1F groups of type FP∞, the Balmer spectrum of dualisable objects is Proj(H*(G,k)) and the telescope conjecture holds, while infinite free products give Stone-Cech spectra and failures of the telescope conjecture ...

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