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arXiv · 1908.06511

On the Replacement Property for PSL(2, p)

David Cueto Noval·Aidan A. Lorenz·Baran Zadeoğlu
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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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David Cueto Noval, Aidan A. Lorenz, Baran Zadeoğlu. 2019-08-18. On the Replacement Property for PSL(2, p). https://arxiv.org/abs/1908.06511

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