In this paper, a new  algorithm for computing secondary invariants of  invariant rings of monomial groups is presented. The main idea is to compute simultaneously a truncated SAGBI-G basis and the standard invariants of the ideal generated by the set of primary invariants.  The advantage of the presented algorithm lies in the fact that it is well-suited to complexity analysis and very easy to i...

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 ...

The purpose of this paper is to draw attention to an innovative use of literature in social science research where the literature may not only be seen as a secondary source of data (Strauss & Corbin 1990) but may also serve as the basis for theory building (Lewis & Grimes 1999; Saunders et. al. 1999). This will be exemplified by attempting to construct a theory of ‘IS business value’ from the l...

Based on an invariant embedding principle for the backscattering function we calculate electron emission yield metal surfaces at very low impact energies. Solving equation within a quasi-isotropic approximation and using effective mass model solid, experimental data are fairly well reproduced provided (i) incoherent scattering ion cores is allowed to contribute cascades inside solid (ii) transm...

We prove that, if M is a compact oriented manifold of dimension 4k + 3, where k > 0, such that π1(M) is not torsion-free, then there are infinitely many manifolds that are homotopic equivalent to M but not homeomorphic to it. To show the infinite size of the structure set of M , we construct a secondary invariant τ(2) : S(M) → R that coincides with the ρ–invariant of Cheeger–Gromov. In particul...

We study the secondary structure of RNA determined by Watson-Crick pairing without pseudo-knots using Milnor invariants of links. We focus on the first non-trivial invariant, which we call the Heisenberg invariant. The Heisenberg invariant, which is an integer, can be interpreted in terms of the Heisenberg group as well as in terms of lattice paths. We show that the Heisenberg invariant gives a...