We study the ramifications of Schur’s theorem that, if G is a group such that G/ZG is finite, then G′ is finite, if we restrict attention to nilpotent group. Here ZG is the center of G, and G′ is the commutator subgroup. We use localization methods and obtain relativized versions of the main theorems. 2000 Mathematics Subject Classification. 20B07, 20D15.

INTRODUCTION. .................................................................. 559 Description of zigzag culms.. ...................................................... 560 Terminology ..................................................................... 560 Inheritance of zigzag culms.. ...................................................... 560 Behavior in the FI and FS generations.. ...........

Secretion of enzymes and fluid induced by Ca(2+) in pancreatic acini is not completely understood and may involve activation of ion conductive pathways in zymogen granule (ZG) membranes. We hypothesized that a chromanol 293B-sensitive K(+) conductance carried by a KCNQ1 protein is expressed in ZG membranes (ZGM). In suspensions of rat pancreatic ZG, ion flux was determined by ionophore-induced ...

ABSTRACT Zero-grazing (ZG; the mechanical harvesting and feeding of fresh grass) is increasingly used in grass-based milk production systems alongside conventional grazing. It allows farmers to supply grass from land parcels that are outside main grazing block during seasonal shortages periods when climatic conditions limit animal opportunities. The objective this study was establish an underst...

ABSTRACT BACKGROUND AND OBJECTIVES: Rheumatoid arthritis is a set of symmetrical inflammatory processes that affects the joints. Currently, drug therapy first choice for treatment disease, however it can cause serious side effects. In this context, photobiomodulation appears as potential resource treatment. Therefore, aim study was to analyze effects low intensity laser on pain and joint degene...

This work was carried out in collaboration between both authors. Author KP designed the study, wrote the protocol and supervised the work. Authors KP and ZG carried out all laboratories work and performed the statistical analysis. Author KP managed the analyses of the study. Author KP wrote the first draft of the manuscript. Author ZG managed the literature searches and edited the manuscript. B...

The role of the topological index, ZG, proposed by the present author in 1971, in various problems and topics in elementary mathematics is introduced, namely, (i) Pascal’s and asymmetrical Pascal’s triangle, (ii) Fibonacci, Lucas, and Pell numbers, (iii) Pell equation, (iv) Pythagorean, Heronian, and Eisenstein triangles. It is shown that all the algebras in these problems can be easily obtaine...

The main regulators of aldosterone secretion in adrenal gland zona glomerulosa (ZG) cells are the hormones angiotensin II (Ang II) and adrenocorticotrophin (ACTH) and small increases in the extracellular potassium (K(+)) concentration. The action of these agonists is mediated by different signalling systems - ACTH is mediated by cAMP and activation of protein kinase A while Ang II and K(+) acti...

A long-standing problem, posed first by Graham Higman in 1940 [Hi] and later by Brauer [Br], is the “isomorphism problem for integral group rings.” Given finite groups G and H, is it true that ZG N ZH implies G N H? Many authors have worked on this question but progress has been difficult [Sal. Perhaps the best positive result was that of Whitcomb in 1968 [Wh], who showed that the implication G...