The stable Picard group of A(2)

2017/02/06 by Prasit Bhattacharya, Bhattacharya, Prasit, Nicolas Ricka +1
Mathematics · Physics and Astronomy · #19L41 #55P42 #55S10 #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #math.AT #msc:19L41 #msc:55P42 #msc:55S10

paper · pdf · doi:10.48550/arxiv.1702.01493

12 pages

arxiv created 2017/02/06 · openalex publication_date 2017/02/06 · arxiv updated 2017/02/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using a form of descent in the stable category of A(2)-modules, we show that there are no exotic elements in the stable Picard group of A(2), i.e. that the stable Picard group of A(2) is free on 2 generators.

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• The stable category and invertible modules for infinite groups