On Characterization of Simple Orthogonal Groups of Odd Dimension in the Class of Periodic Groups

Siberian Mathematical Journal - Suppose that $ n $ is an integer, $ n\geq 3 $ . We prove that a periodic group saturated with a set of the finite simple groups $ O_{2n+1}(q) $ , where $ q $ is...     

Recognition of the Finite Simple Groups F 4(2m) by Spectrum

The spectrum of a finite group is the set of its element orders. A finite group G is said to be recognizable by spectrum, if every finite group with the same spectrum as G is isomorphic to G. The purpose of the paper is to prove that for every natural m the finite simple Chevalley group F ₄(2 ^m ) is recognizable by spectrum.     

Stabilization of the Pro-Tyr-Gly-NH2 melanostatin analog on micelles

Inversed AOT micelles have been used as a system to simulate peptide-receptor interaction; they encapsulate an aqueous solution of the melanostatin analog HCl·Pro-Tyr-Gy-NH₂. NOESY indicates that adsorption at the phase boundary causes the peptide to acquire the biologically active _II conformation. The phenyl ring in Tyr is inserted into the cavity formed by the isooctyl moieties of the AOT molecules.Translated from Teoreticheskaya i Éksperimental'naya Khimiya, Vol. 29, No. 1, pp. 74–80, January–February, 1993.     

On groups with given properties of the finite subgroups generated by couples of 2-elements

Suppose that every finite subgroup, generated by a couple of 2-elements of a periodic group, is either nilpotent of class 2 or of exponent 4. We prove that the group possesses the normal Sylow 2-subgroup that is either nilpotent of class 2 or of exponent 4.     

Study of K^ - \to \pi ^0 e^ - \overline \nu _e \gamma decay with ISTRA+ setup

Results of study of the $K^ - \to \pi ^0 e^ - \overline \nu \gamma $ decay at the ISTRA+ setup are presented. We observed 4476 events of this decay. The branching ratio is found to be $R = \frac{{Br(K^ - \to \pi ^0 e^ - \overline \nu _e \gamma )}}{{Br(K^ - \to \pi ^0 e^ - \overline \nu _e )}}$ = (1.81±0.03(stat.)±0.07(syst.)) × 10^?2 for E*_γ > 10 MeV and θ*_eγ > 10°. For comparison with the previous experiment the branching ratio with cuts E*_γ > 10 MeV, 0.6 < cos θ*_eγ < 0.9 is calculated: R = $\frac{{Br(K^ - \to \pi ^0 e^ - \overline \nu _e \gamma )}}{{Br(K^ - \to \pi ^0 e^ - \overline \nu _e )}}$ = (0.47±0.02(stat.) ± 0.03(syst.)) × 10^?2. For the cuts E*_γ > 30 MeV and θ*_eγ > 20°, used in most theoretical papers, Br = (3.06 ± 0.09(stat.) ± 0.14(syst.)) × 10^?4. For the asymmetry we get A _ξ = ?0.015 ± 0.021. At present it is the best estimate of this asymmetry.     

Periodic groups generated by a pair of virtually quadratic automorphisms of an abelian group

The finiteness is proven of a periodic group generated by a pair of virtually quadratic automorphisms of an abelian group.     

The construction of dual variational principles of the theory of the seepage of an incompressible fluid in some deformable complex media

A method of constructing dual variational principles for problems of the seepage of an incompressible fluid in deformable media with complex rheology is presented. Dual variational principles of the fluid seepage in a typical deformable media with complex rheology [1, 2], namely, a Maxwell element, connected in parallel with a visco-plastic or elastic element, are constructed. The variational principles are derived from variational problems compiled for the constitutive relations for fluid and solid phases.