Đề tài " The classification of torsion endo-trivial modules " docx

... G. Proof. The proof of the theorem is contained in the paper by Yal¸cin as Theorem 1.2 of [Ya]. In this case the dimension of H 1 (G, F p ,) is the same as that of Hom(G, F p ) which is 2n. As in the ... −1) p−1 M ∼ = V 1 ⊕V 2 and completes the proof of the theorem. THE CLASSIFICATION OF TORSION ENDO-TRIVIAL MODULES 849 Theorem 5.6 and Theorem 5.7 provide...

Ngày tải lên: 22/03/2014, 20:20

... Skeleton of the proof of the main Theorems 1.1 and 1.4 The purpose of this section is to give the skeleton of the proof of the main Theorems 1.1 and 1.4, but in the proofs referring forward to the ... feature. Organization of the paper. The paper is organized around Section 2 which sets up the framework of the proof and gives an inductive proof of the...

Ngày tải lên: 22/03/2014, 20:21

... NHỮNG PHÁT HIỆN MỚI CỦA ĐỀ TÀI CŨNG NHƯ NHỮNG HẠN CHẾ CỦA ĐỀ TÀI NÀY, TỪ ĐÓ ĐỀ XUẤT NHỮNG ĐỀ TÀI NGHIÊN CỨU MỚI ĐỂ GIẢI QUYẾT NHỮNG HẠN CHẾ NÀY ? 6.1 Những phát hiện mới của đề tài Nghiên cứu tác ... hạn chế của đề tài này, từ đó đề xuất những đề tài nghiên cứu mới để giải quyết những hạn chế này ? Nhóm 4 –K20 Đêm 6 Trang 1 The “advantage of latecomer” in abating air-polluti...

Ngày tải lên: 06/01/2014, 14:53

... graph. (The existence of the curves σ 1 , γ 1 , γ 2 will be established in the next section.) First we need two lemmas. The first of these is the following: Lemma II.1.38. Given C 1 ,ε 0 > 0, there ... σ 2 . The next lemma bounds the area of a minimal surface with two sides and an interior boundary in a small ball in terms of the length of the sides, provided that...

Ngày tải lên: 14/02/2014, 17:20

... C  u 2 (2.17) and the estimate (2.11), which completes the proof of Theorem 1.1. It remains to prove Proposition 2.5, which will be done at the end of Section 7. The proof involves the construction of a multiplier ... gradient of the imagi- nary part is nonvanishing, so that the zeroes form a smooth submanifold. The estimate uses a new type of weight, which measur...

Ngày tải lên: 16/02/2014, 05:20

... Substituting these values of r, c into (2.6) yields the upper bound of Theorem 1.1. In the language of the beginning of this section, we have taken A to be Spec R Σ and the map F to be F Σ . The set ... in terms of ∆ L . There are only finitely many such polynomials, and counting them gives the theorem of [18]. The main idea of Theorem 1.1 is to count r-tuples of...

Ngày tải lên: 06/03/2014, 08:21

... divisors of n, Ω(n) is the number of prime power divisors of n, π(x) is the number of primes ≤ x, τ(n) is the number of divisors of n. P(s, t) is the set of positive integers composed of prime ... author enjoyed the hospitality of the Institute of Mathematics and Informatics, Bulgarian Academy of Sciences. Finally, the author acknowledges the referee for...

Ngày tải lên: 06/03/2014, 08:21

... GRAPHICAL OFF THE AXIS 35 In this part, we prove Theorem I.0.8 when the surface is in a slab, illus- trating the key points (the full theorem, using the results of this part, will be proved ... completed in the second paper. The third and fourth papers of this series will deal with how the multi-valued graphs fit together and, in particular, prove regularity of the set...

Ngày tải lên: 14/03/2014, 22:20