Continuing our recent research on embedding properties of generalized soluble and generalized nilpotent groups, we study some embedding properties of SD-groups. We show that every countable SD-group G can be subnormally embedded into a two-generator SD-group H. This embedding can have additional properties: if the group G is fully ordered, then the group H can be chosen to be also fully ordered...

In this paper we obtain the necessary and sufficient conditions for embedding results of different function classes. The main result is a criterion for embedding theorems for the so-called generalized Weyl-Nikol’skii class and the generalized Lipschitz class. To define the Weyl-Nikol’skii class, we use the concept of a (λ, β)-derivative, which is a generalization of the derivative in the sense ...

In this paper we obtain the necessary and sufficient conditions for embedding results of different function classes. The main result is a criterion for embedding theorems for the socalled generalized Weyl-Nikol’skii class and the generalized Lipschitz class. To define the Weyl-Nikol’skii class, we use the concept of a (λ, β)-derivative, which is a generalization of the derivative in the sense o...