Generation of alternating groups by pairs of conjugates

L. B. Beasley, J. L. Brenner, P. Erdős, M. Szalay, A. G. Williamson

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1 Citation (Scopus)


Considering the conjugacy classes of the alternating group of degree n, those classes that contain a pair of generators are in the majority. In fact, the proportion of such classes is 1 -ε(n), and ε(n) → 0 as n → ∞.

Original languageEnglish
Pages (from-to)259-269
Number of pages11
JournalPeriodica Mathematica Hungarica
Issue number4
Publication statusPublished - Dec 1987


  • AMS (MOS) subject classifications (1980): Primary 20P05, Secondary 20F05, 20D06, 20D60
  • Alternating groups
  • pairs of generators in almost all conjugacy classes

ASJC Scopus subject areas

  • Mathematics(all)

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  • Cite this

    Beasley, L. B., Brenner, J. L., Erdős, P., Szalay, M., & Williamson, A. G. (1987). Generation of alternating groups by pairs of conjugates. Periodica Mathematica Hungarica, 18(4), 259-269.