A new synthesis of olefins. Conversion of nitroolefins into olefins by reductive elimination

A nitro group in nitroolefins is displaced by hydrogen giving the corresponding olefins in good yields by the reaction of nitroolefins with sodium sulfide in the presence of benzenethiol. It proceeds rapidly at room temperature.     

Faktorisierung endlicher auflösbarer Gruppen

Ohne Zusammenfassung     

On a geometrical method of construction of maximal t-linearly independent sets

The problem of constructing a maximal t-linearly independent set in V(r; s) (called a maximal L_t(r, s)-set in this paper) is a very important one (called a packing problem) concerning a fractional factorial design and an error correcting code where V(r; s) is an r-dimensional vector space over a Galois field GF(s) and s is a prime or a prime power. But it is very difficult to solve it and attempts made by several research workers have been successful only in special cases.In this paper, we introduce the concept of a {Σ_α=1^kw_α, m; t, s}-min · hyper with weight (w₁, w₂,…, w_k) and using this concept and the structure of a finite projective geometry PG(n ? 1, s), we shall give a geometrical method of constructing a maximal L_t(t + r, s)-set with length t + r + n for any integers r, n, and s such that n ? 3, n ? 1 ? r₀ ? n + s ? 2 and r₁ ? 1, where r = (r₁ + 1)v_n?1 ? r₀ and $\text{v}{}_{\mathrm{n}}\text{=}\text{(s}{}^{\mathrm{n}}\text{? 1)}\text{(s ? 1)}$.     

Acyclic stereocontrol via asymmetric [2,3]-Wittig rearrangement with high enantio- and erythro-selectivity and its use in the chiral synthesis of insect pheromones

Such an asymmetric [2,3]-Wittig variant that is both highly enantio- and erythro-selective is described within the context of the chiral synthesis of the insect pheromones, (3$\text{S}$, 4$\text{S}$)-4-methyl-3-heptanol and ($\text{S}$)-4-methyl-3-heptanone.