4-Engel Groups are Locally Nilpotent

نویسندگان

  • George Havas
  • Michael R. Vaughan-Lee
چکیده

Questions about nilpotency of groups satisfying Engel conditions have been considered since 1936, when Zorn proved that finite Engel groups are nilpotent. We prove that 4-Engel groups are locally nilpotent. Our proof makes substantial use of both hand and machine calculations.

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عنوان ژورنال:
  • IJAC

دوره 15  شماره 

صفحات  -

تاریخ انتشار 2005