on the intersection of finitely generated free groups

Ngày tải lên: 07/08/2014, 06:20

... second term on the right-hand side of the analogue of (2.93). 4. Proof of Theorem 3 In Sections 4–6 we prove Theorems 3–5. The proof follows the same line of reasoning as in [3, §5], but there ... x J √ N,N . The rest of the proof of Proposition 4 will be based on Propositions 5 and 6 below. Proposition 5 states that the intersection volume has a tendency to clump: the blocks where the intersection ... 1.(2.93) Substitution into (2.82) yields the claim in (2.80). This completes the proof of Lemma 6. This completes the proof of Proposition 4 and hence of Theorem 1. 3. Proof of Theorem 2 In this section we...

Ngày tải lên: 14/02/2014, 17:20

... Variations on a theme In this section we present two variants of the Key Theorem, and use them to deduce Theorems 1.7 and 1.8. The variants will be proved at the end of Section 4. The first variant of ... open. The statement of Theorem 1.3 is really the concatenation of two facts: the deep result that w(G)isclosed in G, and the triviality that this entails w(G) being open. To get the latter out of the ... (2), from the main result of [MZ] and [SW], together with the fact that there are only finitely many simple groups of exponent dividing q): Proposition 2.1 ([LS2, Th. 1.6]). There exists a constant...

Ngày tải lên: 29/03/2014, 07:20

... K(q). We shall consider only the unwisted case S =SL s+1 (F ). If S =SU s+1 (F ) the proof proceeds in exactly the same way by consideration of the fixed points of σ on the groups V i (and there is no ... Z(S) then [S, g] · [S, g] −1 contains (many) noncentral conjugacy classes of S; it follows that S is generated by the set [S, g]. 4. Deduction of Theorem 1.1 This depends on the special case of Theorem ... simple groups, are needed to complete the proofs of the main theorems of Part I. 1. Introduction The main theorems of Part I [NS] were reduced to two results about finite quasisimple groups. These...

Ngày tải lên: 29/03/2014, 07:20

... functionalized with the -COOH and -PO 3 H 2 groups. The SEM micro- graphs also co nfirm the presence of the attached groups on the outer walls of MWCNTs. The presence of the different chemical groups ... though dispersion assists in the unbundling of CNTs. Functio- nalization also assists in the dispersion of MWCNTs. The disper sion and funct ionalizat ion of MWCNTs with various groups were also confirmed ... microwave treatment. The effect of the various chemical treatments and the dis persion using a surfactant via ultrasonication on the functionalization of MWCNTs has been studied. The results obtained...

Ngày tải lên: 20/06/2014, 22:20

Ngày tải lên: 07/08/2014, 06:23

Ngày tải lên: 07/08/2014, 08:20

Ngày tải lên: 11/08/2014, 12:21

... 39,4±5,2 Electron microscopy observations In the ultrastructural evaluation of the perios- teum in one and two week specimens in the control groups without HBOT, there were numerous chon- droblasts ... the periosteal cells had cytoplasmic process protruded through the bone graft. On the contrary, the ultra- structural investigation of CPCBB groups revealed evidences of severe degeneration ... tissue formation: HBOT significantly reduced the amount of fibrous tissue formation at one and two week samples of the control animals, as the respective values of FTV in the Control group...

Ngày tải lên: 25/10/2012, 11:15

... gDNA contamination. PCR reaction triplicates showed no major differences among them and expression levels of the internal control were similar in the different experiments. The expression levels ... important role in the control of malaria infection. However, they can modulate parasite development enhancing infection. The effect of anti-Plasmodium antibodies on the expression of circumsporozoite ... development in the sporogonic [3 - 5], exoerythrocytic [6] and erythrocytic [7] cycle. However, there is almost no information on the effect of antibodies on the expression of Plasmodium immunogenic...

Ngày tải lên: 02/11/2012, 10:14

... lesion within the vascular arcades of the posterior pole (zone 1) b) the presence of a lesion in the proximity of the optic nerve or the macula c) or a severe inflammatory reaction within the ... infection. Disease evolution depends on many factors: the immune response of the host, the virulence of the parasite and environmental factors and ocular toxoplasmosis can heals spontaneously ... dissemination of the parasites occurs and the tissular cysts will persist during the all life of the host. An ocular reactivation of the disease can occur when the cysts are present within the retina...

Ngày tải lên: 03/11/2012, 11:01

... translation of economic terminology in the other parts of the textbook • A study on the grammatical equivalence of the economic textbook • A study on the textual equivalence of the economic textbook numbered ... proportion and contribute essential information on definitions, concepts and processes. The classification of these terms will be of great importance as we move on the translation of economic ... mại. What is noticeable during the translation process of the compound term of this type is the omission of the functional word the preposition of in the SL to make the term sound more natural...

Ngày tải lên: 07/11/2012, 14:12

... systems of THING TYPE, CLASSIFICATION, EPITHESIS and QUALIFICATION, interpersonal systems of PERSON and ATTITUDE, and textual systems of DETERMINATION. But the way the metafunctional contributions ... Realization of Social Context ( Source: Halliday& Martin 1993:25) 3 Levels of Context The interpretation of social context includes two levels of communication: genre (context of culture) ... lover”. In the second example, the action “ crying” is transferred to another An investigation into the role of metaphor in description of emotion in poetic discourse 16 The form of a noun phrase...

Ngày tải lên: 07/11/2012, 14:44

... per week d. There was no pronunciation lesson but the teacher taught the pronunciation of new words and corrected students’ pronunciation mistakes during the lesson. (If yes, how long approximately? ... in the dictionary, what did you often do? a. looked at its meaning only b. looked at its pronunciation and meaning, then pronounced it in mind c. looked at its pronunciation and meaning, then ... SATISFACTION Over the years, the development of different theories of management and different approached to organization has affected the way we view motivation. In the 19 th century, the writer...

Ngày tải lên: 07/11/2012, 14:58

... classified in terms of: (1) The height of the bulk of the tongue in the mouth (2) The front/back position of the tongue in the mouth (3) The degree of lip-rounding (4) The length of vowels (Roach, 1998: ... which the rationale for the research, the research problem, the purposes, the research questions, the scope of the study, the research method, the significance of the study, as well as the design ... on the need for good pronunciation from learners, gradually the learners tend to develop a similar concern for their own pronunciation. Once learners become more aware of their pronunciation,...

Ngày tải lên: 07/11/2012, 14:58

... administration. For the reason of convenience and satisfaction, KD20 and KD 21 are often chosen more than the others and are considered the two most common formulae (Alderson. J.S. et. al., 1995). Concerning ... responses are scored. They are usually written before the tests and then the test is written on the basis of the specifications. After the test is written, the specification should be consulted ... functional language. The construction of the first test (hereafter achievement test 1) is based on the three units of the course book (Unit 7, 8, 9) that the students have already learnt. The...

Ngày tải lên: 10/04/2013, 14:46

... 9–12% of all Uruguayan professionals and technicians lived abroad in 1980 1.4 The effects of Globalization on Education 1.4.1 The effects of Trade on Education While education helps the economy ... fragmentation. - Fragmentation: the fragmentation of production processes is also called “vertical specialization” and is commonly referred to as the relocation of parts of the production process ... This country of eighty million people is becoming a “vital” part of the global economy. The deeper Vietnam takes part in the global economy, the greater the impact of globalization on Vietnam...

Ngày tải lên: 23/04/2013, 11:16

... estimation of 2-AP low concentration like aromatic rice. The SDE method is suitable for extraction of the 2-AP high concentration materials like Pandan leaf (Phan Phuoc Hien, 2011). Based on the ... Quantification of 2-AP in pandan leaf: Content of 2 - AP in pandan leaf extracted by SDE was calculated as follows: Fig 2. Syst em of the SPME extraction Research on the Change of 2-AP and Other ... standard. Duration of extraction was 30 minutes from apparition of the first drop of water in the bottom of the condensed tube. Volatile compound extracts were then concentrated to 0.3 ml by drying...

Ngày tải lên: 28/08/2013, 16:28

Ngày tải lên: 05/09/2013, 08:40