12 citations · 22 across the 4 of their papers we have counts for
4 papers
On the dimensions of commutative subalgebras and subgroups of nilpotent algebras and Lie groups of class 2
Maria V. Milentyeva
We obtain the functions that bound the dimensions of finite dimensional nilpotent associative or Lie algebras of class 2 over an algebraically closed field in terms of the dimensio…
On the dimensions of commutative subalgebras and subgroups
Maria V. Milentyeva
We consider the functions that bound the dimensions of finite-dimensional associative or Lie algebras in terms of the dimensions of their commutative subalgebras. It is proved that…
Generic properties of 2-step nilpotent Lie algebras and torsion-free groups
Maria V. Milentyeva
To define the notion of a generic property of finite dimensional 2-step nilpotent Lie algebras we use standard correspondence between such Lie algebras and points of an appropriate…
Large and symmetric: The Khukhro--Makarenko theorem on laws --- without laws
Anton A. Klyachko, Maria V. Milentyeva
We prove a generalisation of the Khukhro--Makarenko theorem on large characteristic subgroups with laws. This general fact implies new results on groups, algebras, and even graphs…