A stronger reformulation of Webb's conjecture in terms of finite\n topological spaces

2018/05/23 by Kevin Iván Piterman, Piterman, Kevin Ivan
Decision Sciences · Mathematics · #05E18 #06A11 #20D20 #20D30 #20J05 #20J99 #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Fuzzy and Soft Set Theory #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1805.09374

openalex publication_date 2018/05/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate a stronger formulation of Webb's conjecture on the\ncontractibilty of the orbit space of the p-subgroup complexes in terms of\nfinite topological spaces. The original conjecture, which was first proved by\nSymonds and, more recently, by Bux, Libman and Linckelmann, can be restated in\nterms of the topology of certain finite spaces. We propose a stronger\nconjecture, and prove various particular cases by combining fusion theory of\nfinite groups and homotopy theory of finite spaces.\n

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