Leibniz algebras with an abelian subalgebra of codimension tw0

A characterization of the finite-dimensional Leibniz algebras with an abelian subalgebra of codimension two over a field F of characteristic p2 is given. In short, a finite-dimensional Leibniz algebra of dimension n with an abelian subalgebra of codimension two is solvable and contains an abelian ideal of codimension at most two or it is a direct sum of a Lie one-dimensional solvable extension of the Heisenberg algebra h (F) and F^n-4 or a direct sum of a 3-dimensional simple Lie algebra and F^n-3 or a Leibniz one-dimensional solvable extension of the algebra h (F) F^n-4.