Pattern-avoiding involutions, which have received much enumerative attention, are patternavoiding permutations which are invariant under the natural action of a certain subgroup of D8, the symmetry group of a square. Three other nontrivial subgroups of D8 also have invariant permutations under this action. For each of these subgroups, we enumerate the set of permutations which are invariant und...

От переводчика С разрешения авторов мы перевели первую главу их книги, и один из них (В. В.) смог найти время и просмотреть первые семь страниц перевода. Текст главы оказался весьма непривычным, а потому трудным для перевода, и мы совсем не уверены, что в нём не осталось ошибок. Надеемся, что В. В. сможет со временем просмотреть и исправить оставшуюся часть перевода, после чего можно будет данн...

OBJECTIVE It has been hypothesized that monoclonal antibody D8/17 identifies a B lymphocyte antigen with expanded expression in patients with rheumatic fever, childhood onset obsessive-compulsive disorder (OCD), Tourette syndrome (TS) or prepubertal anorexia nervosa (AN). Our purpose was to replicate these studies in a Spanish population and to determine whether D8/17 identifies a subgroup of t...

We study four kinds of 1/4 BPS solutions in massive IIA supergravity corresponding to D8-D0-F1, D8-D2, D8-D4 and D8-D6-NS5 systems. We show that these solutions are reproduced without making nontrivial assumptions by using supersymmetry conditions. D8D2 and D8-D4 solutions are represented by harmonic functions, as usual, while the other two are represented by solutions of non-linear differentia...

Let G be a non-abelian finite group. In this paper, we prove that Γ(G) is K4-free, if and only if G ∼= A× P , where A is an abelian group, P is a 2-group and G/Z(G) ∼= Z2 × Z2. Also, we show that Γ(G) is K1,3-free if and only if G ∼= S3, D8 or Q8.

A realization of En+1 monopoles in string theory is given. The NS five brane stuck to an Orientifold eight plane is identified as the ’t Hooft Polyakov monopole. Correspondingly, the moduli space of many such NS branes is identified with the moduli space of SU(2) monopoles. These monopoles transform in the spinor representation of an SO(2n) gauge group when n D8 branes are stacked upon the orie...

Up to now chiral type IIA vacua have been mostly based on intersecting D6-branes wrapping special Lagrangian 3-cycles on a CY3 manifold. We argue that there are additional BPS Dbranes which have so far been neglected, and which seem to have interesting model-building features. They are coisotropic D8-branes, in the sense of Kapustin and Orlov. The D8-branes wrap 5-dimensional submanifolds of th...

We focused on a region encompassing a major maize domestication locus, Tb1, and a locus involved in the flowering time variation, Dwarf8 (D8), to investigate the consequences of two closely linked selective sweeps on nucleotide variation and gain some insights into maize geographical diffusion, through climate adaptation. First, we physically mapped D8 at approximately 300 kb 3' of Tb1. Second,...