A note on hyperbolically embedded subgroups

A Note on Counting Isotropy Subgroups

Note on Intuitionistic Fuzzy (Normal) Subgroups or Vague(Normal) Subgroups

The aim of this paper is basically to study some of the standard properties of the intuitionistic fuzzy subgroups under a crisp map. Also, we study some properties of intuitionistic fuzzy normal subgroups.

a note on groups with many locally supersoluble subgroups

it is proved here that if $g$ is a locally graded group satisfying the minimal condition on subgroups which are not locally supersoluble, then $g$ is either locally supersoluble or a vcernikov group. the same conclusion holds for locally finite groups satisfying the weak minimal condition on non-(locally supersoluble) subgroups. as a consequence, it is shown that any infinite locally graded gro...

Strongly P-embedded Subgroups

In this paper we study finite groups which possess a strongly pembedded subgroup for some prime p. Suppose that p is a prime. A subgroup H of the finite group G is said to be strongly p-embedded in G if the following two conditions hold. (i) H < G and p divides |H|; and (ii) if g ∈ G \H , then p does not divide |H ∩H|. One of the most important properties of strongly p-embedded subgroups is tha...

A Note on Naturally Embedded Ternary Trees

In this note we consider ternary trees naturally embedded in the plane in a deterministic way such that the root has position zero, or in other words label zero, and the children of a node with position j have positions j− 1, j, and j + 1, for all j ∈ Z. We derive the generating function of ternary trees where all nodes have labels which are less or equal than j, with j ∈ N, which generalizes a...