Bases of primitive linear groups II

Martin W. Liebeck*, Aner Shalev

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


We correct and improve a result in [3], giving the structure of finite primitive linear groups of unbounded base size. This confirms a well-known conjecture of Pyber on base sizes of primitive permutation groups in the case of affine groups whose associated linear group is primitive.

Original languageAmerican English
Pages (from-to)223-228
Number of pages6
JournalJournal of Algebra
StatePublished - 1 Feb 2014

Bibliographical note

Funding Information:
The authors acknowledge the support of an EPSRC grant. The second author is grateful for the support of ISF grant 754/08 and ERC Advanced Grant 247034 .


  • Base
  • Linear group
  • Permutation group


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