The Replacement Property of PSL(2,p) and PSL(2,p²)

2017/09/25 by Hy P. G Lam, Lam, Hy P. G · 1 citation
Computer Science · Engineering · Mathematics · #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1709.08745

openalex publication_date 2017/09/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In 2014, Benjamin Nachman showed that when p≡1 mod 8, the 2-dimensional projective linear group over the field of p elements fails the replacement property if the maximal length m of an irredundant generating sequence for the group is 3. In addition, if m=4, the group satisfies the property for any prime p. In this paper, we will extend such classification for PSL(2,q) where q is p and p² with conditions of modulo 8 and 10 on p.

Citations

• On an Inequality of Dimension-like Invariants for Finite Groups

Cited by

• On the Replacement Property for PSL(2, p)

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