Finiteness properties of algebraic fibers of group extensions

2024/04/01 by Dessislava H. Kochloukova, Kochloukova, Dessislava H., Stefano Vidussi +1 · 1 citation
Computer Science · Mathematics · #Advanced Topics in Algebra #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR) #Polynomial and algebraic computation #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2404.01447

openalex publication_date 2024/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This survey describes some recent work, by the authors and others, on the existence of algebraic fibrations of group extensions, as well as the finiteness properties of their algebraic fibers, in the realm of both abstract and pro-p groups. We also discuss some applications of these results to (higher) coherence.

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