Differentiable Structure for Direct Limit Groups

Generalized Baer-Invariant of a Pair of Groups and the Direct Limit

In this paper we introduce the concept of generalized Baer-invariant of a pair of groups with respect to two varieties ? and ? of groups. We give some inequalities for the generalized Baer-invariant of a pair of finite groups, when ? is considered to be the Schur-Baer variety. Further, we present a sufficient condition under which the order of the generalized Baer-invariant of a pair of finite ...

Generalized Covering Groups and Direct Limits

Decomposition Theorems for Groups of Diffeomorphisms in the Sphere

We study the algebraic structure of several groups of differentiable diffeomorphisms in Sn. We show that any given sufficiently smooth diffeomorphism can be written as the composition of a finite number of diffeomorphisms which are symmetric under reflection, essentially one-dimensional and about as differentiable as the given one.

New inequalities for a class of differentiable functions

In this paper, we use the Riemann-Liouville fractionalintegrals to establish some new integral inequalities related toChebyshev's functional in the case of two differentiable functions.

Discrete Conformai , Groups and Measurable Dynamics

Motivated by his study of 2nd order differential equations a(z)w" + b(z)W + c(z)w = 0 Poincaré (1882) unveiled the vast subject of discrete subgroups of conformai transformations, (z -»(az + b)/(cz + d)}9 their associated Riemann surfaces, and the intricacies of the limit set—Cantor sets, nowhere differentiable curves, etc. In this paper we discuss an interplay between discrete conformai groups...