Symmetric presentation of the Janko group J4

SW Bolt, JN Bray, Robert Curtis

Research output: Contribution to journalArticle


We demonstrate how readily a definition of the largest Janko group J(4) follows from a primitive action of the Mathieu group M-24 by exhibiting J(4) as an image of the progenitor 2*(3795):M-24. This symmetric presentation is converted into an ordinary presentation on three generators.
Original languageEnglish
Pages (from-to)683-701
Number of pages19
JournalJournal of the London Mathematical Society
Issue number3
Early online date27 Oct 2007
Publication statusPublished - 27 Oct 2007


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