On the Replacement Property for PSL(2, p)
Group Theory
2021-05-24 v5
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).
Keywords
Cite
@article{arxiv.1908.06511,
title = {On the Replacement Property for PSL(2, p)},
author = {David Cueto Noval and Aidan A. Lorenz and Baran Zadeoğlu},
journal= {arXiv preprint arXiv:1908.06511},
year = {2021}
}