Product Replacement in the Monster

Petra Elisabeth Holmes, Stephen Alexander Linton, S H Murray

Research output: Contribution to journalArticlepeer-review

Abstract

We show that the product replacement algorithm can be used to produce random elements of the Monster group. These random elements are shown to have the same distribution of element orders as uniformly distributed random elements after a small number of steps.

Original languageEnglish
Pages (from-to)123-126
Number of pages4
JournalJournal of Experimental Mathematics
Volume12
Issue number1
Publication statusPublished - 2003

Keywords

  • monster group
  • randomised algorithms

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