نتایج جستجو برای: embedded subgroup
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Given a topological group G that can be embedded as subgroup into some vector space (over the field of reals) we say has invariant linear span if all spans under arbitrary embeddings spaces are isomorphic spaces. For an set A let $${{\mathbb {Z}}}^{(A)}$$ direct sum |A|-many copies discrete integers endowed with Tychonoff product topology. We show span. This answers question from paper Dikranja...
in 1970, menegazzo [gruppi nei quali ogni sottogruppo e intersezione di sottogruppi massimali, atti accad. naz. lincei rend. cl. sci. fis. mat. natur. 48 (1970), 559--562.] gave a complete description of the structure of soluble $im$-groups, i.e., groups in which every subgroup can be obtained as intersection of maximal subgroups. a group $g$ is said to have the $fm$...
one of the applications of nanotechnology is use of carbon nanotubes for the targeted delivery of drug molecules. to demonstrate the physical and chemical properties of biomolecules and identify new material of drug properties, the interaction of carbon nanotubes (cnts) with biomolecules is a subject of many investigations. cnts is a synthetic compound with extraordinary mechanical, thermal, el...
iodine deficiency is the most important preventable cause of mental deficiency. the aim of this study was to specify the phase during fetal and postnatal development when iodine supplementation would have optimum effect on the prevention of brain damage. materials and methods forty schoolchildren aged 7-13 years, from the previously iodine deficient villages of kiga and randan, were divided int...
In order to determine the occurrence of endometriosis in patients with uterine myoma and in those with polycystic ovarian disease (PCOD) compared to controls, 540 infertile patients were fIrst divided into two age groups of 20-29 and 30-39. Then each group was subdivided to patients with 1) uterine myoma, 2) PCOD, and 3) no uterine myoma or PCOD (control subgroup). The occurrence of endomet...
in this paper we give a characterization for all semigroups whose square is a group. moreover, we axiomatize such semigroups and study some relations between the class of these semigroups and grouplikes,introduced by the author. also, we observe that this paper characterizes and axiomatizes a class of homogroups (semigroups containing an ideal subgroup). finally, several equivalent conditions ...
in this paper, we give a complete proof of theorem 4.1(ii) and a new elementary proof of theorem 4.1(i) in [li and shen, on the intersection of the normalizers of the derived subgroups of all subgroups of a finite group, j. algebra, 323 (2010) 1349--1357]. in addition, we also give a generalization of baer's theorem.
let $g$ be a group and $a=aut(g)$ be the group of automorphisms of $g$. then the element $[g,alpha]=g^{-1}alpha(g)$ is an autocommutator of $gin g$ and $alphain a$. also, the autocommutator subgroup of g is defined to be $k(g)=langle[g,alpha]|gin g, alphain arangle$, which is a characteristic subgroup of $g$ containing the derived subgroup $g'$ of $g$. a group is defined...
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