K-loops have their origin in the theory of sharply 2-transitive groups. In this paper a proof is given that K-loops and Bruck loops are the same. For the proof it is necessary to show that in a (left) Bruck loop the left inner mappings L(b)L(a)L(ab)−" are automorphisms. This paper generalizes results of Glauberman[3], Kist[8] and Kreuzer[9].

We start by describing all the varieties of loops Q that can be defined by autotopisms αx, x ∈ Q, where αx is a composition of two triples, each of which becomes an autotopism when the element x belongs to one of the nuclei. In this way we obtain a unifying approach to Bol, Moufang, extra, Buchsteiner and conjugacy closed loops. We reprove some classical facts in a new way and show how Buchstei...

I give a physical discussion of the influence of particle number fluctuations on the high energy evolution in QCD. I emphasize the event–by–event description and the correspondence with the problem of ‘fluctuating pulled fronts’ in statistical physics. I show that the correlations generated by fluctuations reduce the phase–space for BFKL evolution up to saturation. Because of that, the evolutio...

A 66-year-old woman was referred for evaluation of retinal vessel abnormality. She had no visual symptoms. The anterior segment showed a retrolental opacity in her right eye. Fundus examination showed a bilateral prepapillary vascular loop associated with PHPV in her right eye. Prepapillary vascular loops were present in both eyes, although they were much more prominent in the right eye. To our...

A loop Q is said to be left conjugacy closed (LCC) if the left translations form a set of permutations that is closed under conjugation. Loops in which the left and right nuclei coincide and are of index 2 are necesarilly LCC, and they are constructed in the paper explicitly. LCC loops Q with the right nucleus G of index 2 offer a larger diversity. A sample of results: if Z(G) = 1, then Q is al...

The Frank system vectorcardiogram has been studied in 61 patients with severe mitral valve disease to determine the value of the vectorcardiogram in the recognition of the relative degree of left and right ventricular hypertrophy in this situation. The appearance of the usual evidence of right ventricular hypertrophy is delayed in mitral valve disease by the vertical electrical position of the ...

It is known that Moufang loops are closely related to groups as they have many properties in common. For instance, they both have an inverse for each element and satisfy Lagrange’s theorem. In this paper, we study the properties of a class of Moufang loops which are not groups, but all their proper subloops and proper quotient loops are groups.

one hundred and eight male (108) cases, which have been using lippes loops (i.u.d.) for contraception, were followed for five (+5) years, and unwanted pregnancies and side effects were analyzed. our over all impression is that because of the frequency of uterine bleeding which they cause, lippes loops are not an ideal contraceptive method for iranian women.