Constructing groups of type FP₂ over fields but not over the integers

2021/02/26 by Robert Kropholler, Kropholler, Robert
Mathematics · #20F05 #20F65 #20J05 #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2102.13509

openalex publication_date 2021/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct examples of groups that are FP₂(ℚ) and FP₂(ℤ/pℤ) for all primes p but not of type FP₂(ℤ).

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