22 citations · 47 across the 10 of their papers we have counts for
5 papers · 1 filter
Lie algebras with Frobenius dihedral groups of automorphisms
N. Yu. Makarenko
Suppose that a Lie algebra admits a finite Frobenius group of automorphisms with cyclic kernel and complement of order 2, such that the fixed-point subalgebra of $…
Nilpotency of Lie type algebras with metacyclic Frobenius groups of automorphisms
N. Yu Makarenko
Suppose that a Lie type algebra L over a field K admits a Frobenius group of automorphisms FH with cyclic kernel F of order n and complement H such that the fixed-point subalgebra…
Almost nilpotency of an associative algebra with an almost nilpotent fixed-point subalgebra
Makarenko Natalia
Let A be an associative algebra of arbitrary dimension over a field F and G a finite soluble group of automorphisms of A oforder n, prime to the characteristic of F. We prove that…
Lie type algebras with an automorphism of finite order
N. Yu. Makarenko
An algebra over a field , in which product is denoted by , is said to be \textit{ Lie type algebra} if for all elements there exist $α, β\in \Bbb…
Lie algebras admitting a metacyclic Frobenius group of automorphisms
N. Yu. Makarenko, E. I. Khukhro
Suppose that a Lie algebra admits a finite Frobenius group of automorphisms with cyclic kernel and complement such that the characteristic of the ground field does…