On Quillen's conjecture for p-solvable groups

2016/04/07 by Antonio Díaz Ramos, Ramos, Antonio Díaz
Mathematics · #05E45 #20J99 #55U10 #Algebraic Topology (math.AT) #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1604.01922

openalex publication_date 2016/04/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a new proof of Quillen's conjecture for solvable groups via a geometric and explicit method. For p-solvable groups, we provide both a new proof using the Classification of Finite Simple Groups and an asymptotic version without employing it.

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