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On Efficient Presentations of the Groups PSL $(2, m)$

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Publication:5045695
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DOI10.22108/ijgt.2021.128791.1696OpenAlexW3210104939MaRDI QIDQ5045695

Orlin Stoytchev

Publication date: 7 November 2022

Full work available at URL: https://arxiv.org/abs/2011.05660


zbMATH Keywords

braid groupsChevalley groupsvon Dyck groups


Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Generators, relations, and presentations of groups (20F05) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Braid groups; Artin groups (20F36)



Uses Software

  • GAP


Cites Work

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  • On Ihara's modular group
  • Hurwitz groups: A brief survey
  • A Deficiency Zero Presentation for SL (2, p )
  • Nice Efficient Presentions for all Small Simple Groups and their Covers
  • On the Efficiency of the Simple Groups of Order Less Than a Million and Their Covers
  • A Presentation of the Groups PSL(2, p)
  • A Presentation of the Groups PSL(2, p) with Three Defining Relations
  • Presentations of the Groups SL(2,m) And PSL(2,m)


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