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
Let g,c denote positive integers. A group is said to have type (g→c) if every subgroup which can be ...
Let q be a prime and A an elementary abelian q-group acting as a coprime group of automorphisms on a...
A subset S of a group G is called an Engel set if, for all x, y ∈ S, there is a non-negative integer...
Recently Havas and Vaughan-Lee proved that 4-Engel groups axe locally nilpotent. Their proof relies ...
Using known results on 4-Engel groups one can see that a 4-Engel group is locally nilpotent if and o...
Let n be a positive integer. We say that a group G is an (n+1/2)-Engel group if it satisfies the la...
Let G be a locally nilpotent 4-Engel group. We show that the normal closure of any element from G is...
AbstractLet G be a locally nilpotent 4-Engel group. We show that the normal closure of any element f...
We give an affirmative answer to the question whether a residually finite Engel group satisfying an ...
WOS: 000426903600001We prove that a residually finite group G satisfying an identity and generated b...
We completely describe the structure of locally (soluble-by-finite) groups in which all abelian subg...
We observe that there exists a positive integer c(n) such that for every locally nilpotent n-Engel g...
Let m, n be positive integers, v a multilinear commutator word and w = vm. We prove that if G is a r...
Let g,c denote positive integers. A group is said to have type (g→c) if every subgroup which can be ...
Let q be a prime and A an elementary abelian q-group acting as a coprime group of automorphisms on a...
A subset S of a group G is called an Engel set if, for all x, y ∈ S, there is a non-negative integer...
Recently Havas and Vaughan-Lee proved that 4-Engel groups axe locally nilpotent. Their proof relies ...
Using known results on 4-Engel groups one can see that a 4-Engel group is locally nilpotent if and o...
Let n be a positive integer. We say that a group G is an (n+1/2)-Engel group if it satisfies the la...
Let G be a locally nilpotent 4-Engel group. We show that the normal closure of any element from G is...
AbstractLet G be a locally nilpotent 4-Engel group. We show that the normal closure of any element f...
We give an affirmative answer to the question whether a residually finite Engel group satisfying an ...
WOS: 000426903600001We prove that a residually finite group G satisfying an identity and generated b...
We completely describe the structure of locally (soluble-by-finite) groups in which all abelian subg...
We observe that there exists a positive integer c(n) such that for every locally nilpotent n-Engel g...
Let m, n be positive integers, v a multilinear commutator word and w = vm. We prove that if G is a r...
Let g,c denote positive integers. A group is said to have type (g→c) if every subgroup which can be ...
Let q be a prime and A an elementary abelian q-group acting as a coprime group of automorphisms on a...
A subset S of a group G is called an Engel set if, for all x, y ∈ S, there is a non-negative integer...
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