THE (2,3)-GENERATION OF THE SPECIAL LINEAR GROUPS OVER FINITE FIELDS

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Abstract

We complete the classification of the finite special linear groups SL_n(q) which are (2, 3)-generated, that is, which are generated by an involution and an element of order 3. This also gives the classification of the finite simple groups PSL_n(q) which are (2, 3)-generated.
Original languageEnglish
Pages (from-to)48-53
Number of pages6
JournalBulletin of the Australian Mathematical Society
Volume95
DOIs
Publication statusPublished - 2017

Keywords

  • generation
  • linear groups

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