Efficient presentations for direct powers of imperfect groups

Research output: Other contribution


Let G be a finite imperfect group. It is shown that, to prove that G(n) is efficient for all integers n, it is sufficient to prove that each of a finite sequence of such direct products is efficient. As an example, A(4)(n), n greater than or equal to 1, is shown to be efficient.

Original languageEnglish
Publication statusPublished - Mar 1997


  • alternating group
  • direct power
  • direct product
  • efficient presentation
  • imperfect group


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