On the replacement property for PSL(2,p)

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On_the_replacement_property_for_PSL(2,p).pdf (1.16 MB)

Date

2021-06-12

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Source Title

Communications in Algebra

Print ISSN

0092-7872

Electronic ISSN

1532-4125

Publisher

Taylor & Francis

Volume

49

Issue

11

Pages

4970 - 4979

Language

English

Type

Article

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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 (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).

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Exchange lemma , Finite groups , Minimal generating sets , Minimax sets , PSL(2, p) , Replacement property

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http://hdl.handle.net/11693/77364

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https://doi.org/10.1080/00927872.2021.1933999

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Department of Mathematics