Introduction: Elevated low-density lipoprotein cholesterol (LDL-C) is an important risk factor for atherosclerotic cardiovascular disease (ASCVD). Direct LDL-C measurement not widely performed. routinely calculated using the Friedewald equation (FLDL), which inaccurate at high triglyceride (TG) or low levels. We aimed to compare this routine method with other estimation methods in patients type...

Szasz [l ] has recently shown that a group is cyclic if and only if it satisfies condition (A) below. (A) Every cyclic subgroup of the group is for some positive integer k the subgroup generated by the £th powers of the elements of the group. We shall extend this idea here to show that a metacyclic group whose commutator subgroup has order relatively prime to its index is characterized as a sol...

AIM To assess the impact of highly active antiretroviral therapy (HAART) on the prevalence and progression of CMV retinitis (CMVR) among AIDS patients with baseline CD4 cell counts <100 cells x 10(6)/l. METHODS A longitudinal cohort study of 1292 patients. CD4 cell counts and HIV viral load measurements were obtained before commencing therapy, at 3 months, 1 year, 2 years, and at last follow ...

Let l be a prime number. In the present paper, we discuss a pro-l version of the congruence subgroup problem for mapping class groups of genus one. Our main result is that the pro-2 version has an affirmative answer, but the pro-l version for l ≥ 11 has a negative answer. In order to give a negative answer to the problem in the case where l ≥ 11, we also consider the issue of whether or not the...

Let Γ be a finitely presentable pro-p group such that def(Γ) > 0. If Γ has a nontrivial finitely generated closed normal subgroup N of infinite index then def(Γ) = 1, N is a free pro-p group and Γ/N is virtually free. If π is a finitely presentable group with β (2) 1 (π) = 0 then def(π) ≤ 1, with equality only if c.d.π = 2 or π ∼= Z. (See Theorem 2.5 of [1].) The L-Betti number condition holds ...

We study homogeneous Lorentzian manifolds M=G/L of a connected reductive Lie group G modulo subgroup L, under the assumption that M is (almost) G-effective and isotropy representation totally reducible. show description such reduces to case semisimple groups G. Moreover, we prove space reductive. describe all reducible subgroups Lorentz divide them into three types. The Type I are compact, whil...

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...

By “Euclidean space” of dimension n we mean a real vector space of dimension n, equipped with a positive-definite inner product 〈·, ·〉. We usually call such a space “Rn” even when there is no distinguished choice of coordinates. A lattice in Rn is a discrete co-compact subgroup L ⊂ Rn, that is, a discrete subgroup such that the quotient Rn/L is compact (and thus necessarily homeomorphic with th...

Introduction. By a lattice homorphism of a group G onto a group G' we mean a single-valued mapping of the lattice L(G) of subgroups of G onto the lattice L(G') of subgroups of G', which preserves all unions and intersections, that is, which is subject to the conditions 1. (U,S,)0 = U,(S¿), 2. (r\vSr) = Ç)ASd>), for every (finite or infinite) set of subgroups 5„ of G. We call proper any l...

• Finite Groups: The maximal subgroup machinery is now able to access the maximal subgroups and automorphism groups of a greatly expanded set of simple groups. These include HS and L(6, 2), Alt(d) (d < 1000), L(2, p), L(2, p), L(2, p), L(3, p), L(3, 8), L(3, 9), S(4, p), and U(3, p) (p prime). This greatly extends the range of those algorithms used for determining subgroups and automorphism gro...