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On the Replacement Property for PSL(2, p)

2019/08/18 by David Cueto Noval, Noval, David Cueto, Aidan A. Lorenz +3
Engineering · Mathematics · #Advanced Topology and Set Theory #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1908.06511

openalex publication_date 2019/08/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The replacement property (or Steinitz Exchange Lemma) for vector spaces has a natural analog for finite groups and their generating sets. For the special case of the groups PSL(2, p), where p is a prime larger than 5, first partial results concerning the replacement property were published by Benjamin Nachman [7]. The main goal of this paper is to provide a complete answer for PSL(2, p).

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