Search results for "Complement"
showing 10 items of 2113 documents
Number of Sylow subgroups in $p$-solvable groups
2003
If G is a finite group and p is a prime number, let vp(G) be the number of Sylow p-subgroups of G. If H is a subgroup of a p-solvable group G, we prove that v p (H) divides v p (G).
A knot without tritangent planes
1991
We show, with computations aided by a computer, that the (3,2)-curve on some standard torus (which topologically is the trefoil knot) has no tritangent planes, thus answering in the negative a conjecture of M. H. Freedman.
A knot without triple bitangency
1997
It is proved that certain trefoil knot has not triple bitangency, answering thus in the negative a conjecture of S. Izumiya and W. L. Marar.
Self-normalizing Sylow subgroups
2003
Using the classification of finite simple groups we prove the following statement: Let p > 3 p>3 be a prime, Q Q a group of automorphisms of p p -power order of a finite group G G , and P P a Q Q -invariant Sylow p p -subgroup of G G . If C N G ( P ) / P ( Q ) \mathbf {C}_{\mathbf {N}_G(P)/P}(Q) is trivial, then G G is solvable. An equivalent formulation is that if G G has a self-normalizing Sylow p p -subgroup with p > 3 p >3 a prime, then G G is solvable. We also investigate the possibilities when p = 3 p=3 .
On the normal index of maximal subgroups in finite groups
1990
AbstractFor a maximal subgroup M of a finite group G, the normal index of M is the order of a chief factor H/K where H is minimal in the set of normal supplements of M in G. We use the primitive permutation representations of a finite group G and the normal index of its maximal subgroups to obtain results about the influence of the set of maximal subgroups in the structure of G.
Pure Component Pricing in a Duopoly
2002
In this paper, we focus on price competition between several multiproduct firms which produce differentiated systems, each consisting of two complementary products. It is shown here that if firms are restricted to pure component pricing (bundling is not allowed) whenever components produced are compatible, pure strategy equilibrium may not exist. With the use of bundling strategies, pure strategy equilibrium always exists. For the pure component pricing case we provide a full characterization for the existence of a pure strategy equilibrium.
COMPLEMENTARITY BETWEEN LOCAL KNOWLEDGE AND INTERNATIONALIZATION IN REGIONAL TECHNOLOGICAL PROGRESS
2006
Trade, foreign direct investment, and inter-regional R&D spillovers facilitate competition, the spread of knowledge, and the adoption of more advanced technologies, which in turn hastens total factor productivity (TFP) growth. The spread of these efficiency gains from internationalization requires a sufficient local knowledge to enable them to be adapted to the domestic productive environment. Thus, higher local knowledge and internationalization will lead to TFP growth, and the greater the complementarity between variables the higher the TFP growth. We test the complementarity hypothesis using Spanish regional data over the period 1980–1995 in which both regional local knowledge and intern…
Sylow permutable subnormal subgroups of finite groups
2002
[EN] An extension of the well-known Frobenius criterion of p-nilpotence in groups with modular Sylow p-subgroups is proved in the paper. This result is useful to get information about the classes of groups in which every subnormal subgroup is permutable and Sylow permutable.
Enzymatic alteration of C1q, the collagen-like subcomponent of the first component of complement, leads to cross-reactivity with type II collagen
1988
AbstractNative serum C1q, the collagenous-like subcomponent of the first component of complement, is not recognized by polyclonal anti-collagen type II antibodies. However, when purified C1q was subjected to limited proteolysis by collagenase it showed antigenic cross-reactivity with collagen type II. The same cross-reactivity was observed with hemolytically active C1q in synovial fluids of patients with rheumatoid arthritis (RA), whereas C1q from synovial fluids of patients with osteoarthritis (OA), villo-nodular synovitis and ankylosing spondylitis was not recognized by this antibody. However, incubation of synovial fluid C1q of OA patients with synovial fluid leucocytes from RA patients …
Evidence for the presence of autoantibodies to the collagen-like portion of C1q in systemic lupus erythematosus.
1988
We investigated the connection between the C1q solid-phase binding assay (C1q SPBA) and double-stranded DNA antibodies, and analyzed the immune complex material in systemic lupus erythematosus (SLE) sera. Comparison with a new monoclonal assay for C1q-bearing immune complexes (the 242G3 assay) revealed that the immune complexes in SLE bind specifically to solid-phase C1q, and not to fluid-phase C1q. The C1q solid-phase binding activity sedimented as 7S IgG, was insensitive to DNase treatment, and could be selectively absorbed by C1q-coupled beads and by bovine serum albumin-anti-bovine serum albumin C1q beads, but not by DNA. Thus, antibodies to double-stranded DNA do not interfere in the C…