Let σ = {σi|i ∈ I } be a partition of the set all primes ℙ and G finite group. A ℋ subgroups is said to complete Hall σ-set if every member ≠1 σi-subgroup for some i contains exactly one such that σi ⌒ π(G) ≠ ∅. group σ-primary it σi-group i. subgroup be: σ-permutable in possesses AH x H xA G; σ-subnormal there chain A0 ≤ A1 … At either Ai − 1 ⊴ or /(Ai 1)Ai 1, …, t;

It is shown that if a regular knot of class \(C^2\) embedded in the boundary complex hyperbolic plane as limit set discrete subgroup \(\mathrm {PU} (2,1)\), then it either chain or an \(\mathbb {R}\)-circle.

We report the results of a phylogenetic survey of the retrotransposon copia in the melanogaster subgroup of the Drosophila genus. The polymerase chain reaction was used to amplify the copia 5' long terminal repeat and the adjacent untranslated leader region from representative melanogaster subgroup species. Restriction and sequence analyses of this region reveal discrete classes of copia size v...

This paper answers a question of Burns, Karrass and Solitar by giving examples of knot and link groups which are not subgroup-separable. For instance, it is shown that the fundamental group of the square knot complement is not subgroup separable. Let L denote the fundamental group of the link consisting of a chain of 4 circles. It is shown that L is not subgroup separable. Furthermore, it is sh...

Rheumatoid factors (RFs) in humans have been studied intensively because of their association with autoimmune and lymphoproliferative diseases. Many human IgM-RFs express cross-reactive idiotypes (CRIs) and have homologous light chains, some of which are encoded by a single V kappa gene, termed V kappa 325. However, although antibody activity generally requires the interaction between heavy and...

Objective(s): This study aimed to investigate the association between human leukocyte antigen Cw (HLA-Cw) polymorphisms and rheumatoid arthritis (RA) in Chinese Han patients in the Jiangsu area (Southern China).Materials and Methods: Polymerase chain reaction-sequence specific primers were used to detect HLA-Cw01–08 of 201 RA patients an...