A split action associated with a compact transformation group

A Compact Ultra-Wideband Bandpass Filter with Sharp-Rejection using Complementary Split Ring Resonators

A compact and sharp-rejection ultra-wideband (UWB) microstrip band-pass filter (BPF) is developed using of left handed metamaterials realized by complementary split ring resonator (CSRR). Moreover, proposed structure consists of two doublets parallel coupling gaps at each side of a microstrip ring. In comparison with some other filters, this structure shows a significantly wider passband due to...

The Automorphism Group of a Compact Group Action

This paper contains results on the structure of the group, DiffG(M), of equivariant C-diffeomorphisms of a free action of the compact Lie group G on M. DiffJjíAÍ) is shown to be a locally trivial principal bundle over a submanifold of T>\tf(X), X the orbit manifold. The structural group of this bundle is lf(G, M), the set of equivariant C'-diffeomorphisms which induce the identity on X. E?(G, M...

The Conformal Transformation Group of a Compact Homogeneous Riemannian Manifold

A monoid associated with a self-similar group action

We prove that there is a correspondence between self-similar group actions and the class of left cancellative right hereditary monoids satisfying the dedekind height property. The monoids in question turn out to be coextensive with the Zappa-Szép products of free monoids and groups, and the ideal structure of the monoid reflects properties of the group action. These monoids can also be viewed a...

A compact group action which raises dimension to infinity

Interest in group actions with the property that the orbit space has greater dimension than the original space is motivated in part of P.A.Smith’s generalization of the Hilbert’s fifth problem. It asserts that among all locally compact groups only Lie group can act effectively on manifolds. It is now known as the Hilbert-Smith conjecture. The Hilbert-Smith conjecture is known to be equivalent t...