The discovery of (interesting) subgroups has a high practical relevance in all domains of science or business. For example, consider statements such as: ”the unemployment rate is above average for young men with a low educational level”, ”smokers with a positive family history are at a significantly higher risk for coronary heart disease”, or ”single males living in rural areas do rarely take o...

For connected reductive linear algebraic structure groups it is proven that every web is holonomically isolated. The possible tuples of parallel transports in a web form a Lie subgroup of the corresponding power of the structure group. This Lie subgroup is explicitly calculated and turns out to be independent of the chosen local trivializations. Moreover, explicit necessary and sufficient crite...

We establish a regular sampling theory in the range of analysis operator continuous frame having unitary structure. The structure is related with representation locally compact abelian group on separable Hilbert space. samples are defined by means suitable discrete convolution systems which generalize some usual settings; here that taken at countable subgroup.

The orbits of a minimal parabolic k-subgroup acting on a symmetric k-variety are essential to the study of symmetric k-varieties and their representations. This paper gives an algorithm to compute these orbits and most of the combinatorial structure of the orbit decomposition. There are several ways to describe these orbits, see for example [22, 28, 35]. Fundamental in all these descriptions ar...

The antioxidant activities of 24 isoflavonoids that were previously isolated as pure compounds from Dalbergia parviflora were evaluated using three different in vitro antioxidant-based assay systems: xanthine/xanthine oxidase (X/XO), ORAC, and DPPH. The isolates consisted of three subgroups, namely isoflavones, isoflavanones, and isoflavans, each of which appeared to have diversified substituen...

Abstract_ Introduction: Viola plant has been used traditionally for the treatment of neurological disorders. We aimed at determining whether pretreatment with Viola spathulata extract can alleviate the severity of ischemic-reperfusion damages and it can exert its protective effects through the regulation of a sodium/calcium exchanger (NCX3) gene expression in a rat brain. Methods: Male Wistar r...

We examine the subgroup D ( G ) of a transitive permutation group which is generated by derangements in . Our main results bound index this subgroup: we conjecture that, if has degree n and not Frobenius group, then | : ? ? 1 ; prove except when primitive affine group. For groups, translate our into an equivalent form regarding H R , where linear on finite vector space elements having eigenvalu...

The minimal faithful permutation degree n(G) of a finite group G is the least positive integer n such that G is isomorphic to a subgroup of the symmetric group Sn. Let AT be a normal subgroup of a finite group G. We prove that n(G/N) $C /i(G) if G/N has no nontrivial Abelian normal subgroup. There is an as yet unproved conjecture that the same conclusion holds if G/N is Abelian. We investigate ...