Right 2-Engel elements, central automorphisms and commuting automorphisms of Lie algebras
-
Mohammad Hossein Jafari
and
Ali Reza Madadi
Abstract
In the present paper, right 2-Engel elements, central automorphisms and commuting automorphisms of Lie algebras will be studied. For this purpose, first the structure of the set of all right 2-Engel elements of a Lie algebra will be examined and then, by taking advantage of it, a number of interesting results about central and commuting automorphisms of Lie algebras will be presented. Finally, a characterization of Lie algebras for which the set of central automorphisms is trivial or the set of commuting automorphisms is trivial will be given.
References
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Articles in the same Issue
- Frontmatter
- Distinct distances between points and lines in 𝔽q2
- A global perspective to connections on principal 2-bundles
- Integral group rings of solvable groups with trivial central units
- Lefschetz property and powers of linear forms in 𝕂[x,y,z]
- On quasi-convex null sequences in infinite cyclic groups
- On autocommutators and the autocommutator subgroup in infinite abelian groups
- Anticyclotomic p-ordinary Iwasawa theory of elliptic modular forms
- Finite-dimensional representations of Leavitt path algebras
- Orlicz dual affine quermassintegrals
- Universal locally finite maximally homogeneous semigroups and inverse semigroups
- Von Neumann algebras, L-algebras, Baer *-monoids, and Garside groups
- Boundedness and compactness of Hardy-type integral operators on Lorentz-type spaces
- A shifted convolution sum for \mathrm{GL}(3) × \mathrm{GL}(2)
- Equivariant Gauss sum of finite quadratic forms
- Right 2-Engel elements, central automorphisms and commuting automorphisms of Lie algebras
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Solution of Brauer’s
