Baer has shown that, for a group G, finiteness of G=Zi(G) implies finiteness of ɣi+1(G). In this paper we will show that the converse is true provided that G=Zi(G) is finitely generated. In particular, when G is a finite nilpotent group we show that |G=Zi(G)| divides |ɣi+1(G)|d′ i(G), where d′i(G) =(d( G /Zi(G)))i.

the mean and variance of the lagrangian katz family of distribution (lkd), the basiclagrangian katz distribution of type i (lkd-i) and type ii (lkd-ii) are provided in an easy method.the recurrence relation between the non-central, central and factorial moments, and the recurrencerelation between moments and cumulants of lkd, lkd-i and lkd-ii are given. the first fourcumulants of lkd-i and lkd-...

the purpose of present paper was to examine the relationship between central bank independence and inflation rate in iran over 1960-2008. first, central bank independence has been accomplished through three indices including legal and real cbi indices and turnover rate of central bank governor index. then, augmented dickey-fuller test for model stationary of variables has been done by applying ...

calcifying odontogenic cyst (coc), central odontogenic fibroma (cof) and aggressive central giant cell granuloma (cgcg) are rare pathologic diseases affecting the jaws. while the co-existence of two of them is reported in the literature, existence of all three conditions in one patient is an extremely rare entity. in the present report, initial biopsy revealed fibrosarcoma, therefore mandibular...

introduction: finding the probable governing pattern of peep and cvp changes is an area of interest for in-charge physicians and researchers. therefore, the present study was designed with the aim of evaluating the relationship between the mentioned pressures. methods: in this quasi-experimental study, patients under mechanical ventilation were evaluated with the aim of assessing the effect of ...

abstract the purpose of this analysis was to evaluate the technological viability, basic safety and consequence of central pancreatectomy (cp) with pancreaticogastrostomy in properly chosen sufferers with noncancerous central pancreatic pathology. this research is centered on the infirmary charts of west china hospital. we recruited 20 individuals from 2007 to 2009 diagnosed with benign cancero...