In this article we introduce and study the concept of characteristic degree of a subgroup in a finite group. We define the characteristic degree of a subgroup H in a finite group G as the ratio of the number of all pairs (h,α) ∈ H×Aut(G) such that h^α∈H, by the order of H × Aut(G), where Aut(G) is the automorphisms group of G. This quantity measures the probability that H can be characteristic ...

This paper characterizes the first cohomology group H(G,M) where M is a Banach space (with norm || ||M) that is also a left CG module such that the elements of G act onM as continuous C-linear transformations. We study this group for G an infinite, finitely generated group. Of particular interest are the implications of the vanishing of the group H(G,M). The first result is that H(G,CG) imbeds ...

Several resistant mutants of a transformable group H streptococcus, strain Challis, were isolated from media containing high concentrations of streptomycin. Mutants SR5a and SR5 exhibited high and low transformability, respectively, when exposed to deoxyribonucleic acid (DNA) from a novobiocin-resistant Challis strain. With similar exposure, mutant SR30 exhibited loss of transformability. The m...

The Poincaré polynomial of a Weyl group calculates the Betti numbers of the projective homogeneous space G/B, while the h-vector of a simple polytope calculates the Betti numbers of the corresponding rationally smooth toric variety. There is a common generalization of these two extremes called the H-polynomial. It applies to projective, homogeneous spaces, toric varieties and, much more general...

Food allergy is estimated to affect approximately 1 in 25 school-aged children and is the most common trigger of anaphylaxis in this age group. School food-allergymanagement requires strategies to reduce the risk of ingestion of the allergen as well as procedures to recognize and treat allergic reactionsandanaphylaxis. The role of thepediatricianorpediatric health care provider may include diag...

This now famous quote neatly captures the confusion and uncertainty surrounding the transgressive character of the action heroine.' Smarter, tougher and better equipped than both the traditional heroines of the action genre and many of their contemporary male counterparts, action heroines are a new breed of arse-kicking female protagonists in action genre films Aggressive, heroic and transforma...

conclusions the benson relaxation could reduce pain intensity in women after cesarean section. results the mean of pain score before intervention at cg was 4.43 cm. it was decreased to 4.40 cm (1 min), 4.27 cm (12 h), 4.10 cm (24 h), 4.00 cm (36 h), 3.93 cm (48 h), 3.83 cm (60 h), 3.67 cm (72 h) and 3.51 cm (84 h). meanwhile, the ig was 4.97 cm. it was decreased to 4.90 cm (1 min), 4.23 cm (12 ...