Browsing by Subject "Minimal generating sets"
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Item Open Access On the replacement property for PSL(2,p)(Taylor & Francis, 2021-06-12) Noval, D. C.; Lorenz, A. A.; Zadeoğlu, BaranThe 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 (2014). Second partial results were published by Hy P.G. Lam (2017). The main goal of this paper is to provide a complete answer for PSL(2,p).