Finding involutions with small support

Alice C. Niemeyer, Tomasz Popiel

Research output: Contribution to journalArticleResearchpeer-review


We show that the proportion of permutations g in Sn or Ansuch that has even order and gg/2is an involution with support of cardinality at most [mϵ] is at least a constant multiple of . Using this result, we obtain the same conclusion for elements in a classical group of natural dimension in odd characteristic that have even order and power up to an involution with (-1)-eigenspace of dimension at most [mϵ] for a linear or unitary group, or 2[n/2ϵ]for a symplectic or orthogonal group.

Original languageEnglish
Pages (from-to)43-47
Number of pages5
JournalBulletin of the Australian Mathematical Society
Issue number1
Publication statusPublished - 1 Aug 2016
Externally publishedYes


  • alternating group
  • classical group
  • involution
  • proportion of elements
  • symmetric group

Cite this