On normal subgroups of differentiable homeomorphisms

Constructing differentiable homeomorphisms between isomorphic triangulations

Structure theorems for subgroups of homeomorphisms groups

Let Homeo(S) represent the full group of homeomorphisms of the unit circle S, and let A represent the set of subgroups of Homeo(S) satisfying the two properties that if G ∈ A then 1) G contains only orientationpreserving homeomorphisms of S and 2) G contains no non-abelian free subgroups. In this article we use classical results about homeomorphisms of the circle and elementary dynamical method...

Obstructions to the Smoothing of Piecewise- Differentiable Homeomorphisms

Since the publication in 1956 of John Milnor's fundamental paper [l ] in which he constructs differentiable structures on S nondiffeomorphic to the standard one, several further results concerning differentiable structures have been obtained by Milnor, R. Thorn, and others. This paper unifies and extends some of these results within the framework of an obstruction theory. Two differentiable man...

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.

Classifying fuzzy normal subgroups of finite groups

In this paper a first step in classifying the fuzzy normalsubgroups of a finite group is made. Explicit formulas for thenumber of distinct fuzzy normal subgroups are obtained in theparticular cases of symmetric groups and dihedral groups.