Finite factorizable groups

We proved some theorems on factorizable finite groups, in particular, theorems on the solvability of products of 2-decomposable groups of a special form.Translated from Matematicheskie Zametki, Vol. 3, No. 2, pp. 201–210, February, 1968.     

Facile alkane functionalization in copper-[2.1.1]-(2,6)-pyridinophane-PhINTs systems

Mild catalytic dehydrogenation of cycloalkanes (cyclo-C(5)H(10), cyclo-C(6)H(12), cyclo-C(8)H(16)) and aziridination of resulting olefins is reported with PhINTs and copper-[2.1.1]-(2,6)-pyridinophane (L) complexes LCuX(n)(n= 1, 2; X = Cl, OTf)"activated" with NaBAr(F)(4) in dichloromethane solution.     

Hereditary Critical Ω-Compositional Formations

We present a solution of the Shemetkov problem (on the investigation of critical formations) for piecewise-compositional hereditary formations.     

Synthesis,structure and complexation of biscrown-containing 1,4-distyrylbenzenes

An improved method for the synthesis of two symmetric biscrown-containing and one model tetramethoxy-substituted 1,4-distyrylbenzenes was suggested. The structures of compounds were established by ¹H and ¹³C NMR spectroscopy and X-ray diffraction analysis. Spectrophotometric and fluorescent titration were used to determine spectral properties, stoichiometry, and stability of complexes of biscrown-containing 1,4-distyrylbenzenes with alkali and alkaline-earth metal cations. The stability of the complexes was found to depend on the metal cation size and charge, as well as on the size of the crown ether fragment. The electrochemical oxidation and reduction potentials of the biscrown-containing 1,4-distyrylbenzenes and the model compound in solution were determined and their basic differences from the corresponding characteristics of biscrown-containing stilbenes were identified.     

Design of crystal packings of styryl heterocycles and regularities of [2+2] photocycloaddition in their single crystals 8. Topochemical [2+2] autophotocycloaddition and back reaction in styryl dye of the benzothiazole series

New styryl dye of the 2-benzothiazole series was synthesized. The new dye contains two methoxy groups in the benzene ring and tosylate counterion. The [2+2] photocycloaddition (PCA) of the dye was studied in the polycrystalline film and in single crystal. Two modifications of the dye cocrystallizate with hydroquinone differed in the ratio of components were obtained, and their ability to enter PCA was studied. According to the X-ray diffraction data, molecular cations of the dye form stack packings either of syn-“head-to-tail” type or relatively isolated stacking dimers. In all cases, the ethylene bonds of the adjacent cations are brought together and antiparallel, favoring PCA to form the centrosymmetric rctt-isomer of 1,2,3,4-tetrasubstituted cyclobutane. In two cases, the PCA reaction proceeded as the “single crystal-to-single crystal” transformation. Hydrogen bonds in crystals including hydroquinone molecules strengthen the crystal packing retarding the PCA. The back photoreaction (retro-PCA) was detected: it occurs without single crystal decomposition and results in the accumulation of the initial styryl dye in crystal consisting of the cyclobutane derivative. This is the first example of such a transformation in single crystals.     

Subdirect products and formations of finite groups

Translated from Algebra i Logika, Vol. 29, No. 5, pp. 523–548, September–October, 1990.