George Havas, Michael Vaughan-Lee
Abstract
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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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.
Key concepts: Mathematics, Nilpotent, Locally nilpotent, Pure mathematics, Nilpotent group, Group (periodic table), Algebra over a field, Discrete mathematics