Báo cáo toán hoc:" Hurwitz Equivalence in Tuples of Dihedral Groups, Dicyclic Groups, and Semidihedral Groups" pptx

... of combinatorics 16 (2009), #R95 5 Hurwitz Equivalence in Tuples of Dihedral Groups, Dicyclic Groups, and Semidihedral Groups Charmaine Sia Department of Mathematics Massachusetts Institute of ... Gorenstein, Finite Groups, 2nd ed., Chelsea Publishing Company, New York, 1980. [3] X. Hou, Hurwitz equivalence in tuples of generalized quaternion groups an...

Ngày tải lên: 08/08/2014, 01:20

... 3.1. (iii) Different tuples in (4.1) are nonequivalent since they have different combinations of invariants λ(a) and π(a). The same is true for the tuples in (4.2). Therefore, it remains to show that ... Λ(a) is an invariant of the Hurwitz action on Q n 2 m . In fact, it is easy to see that Λ(a) is invariant under each of the Hurwitz moves in (2.3) – (2.6). To determine...

Ngày tải lên: 07/08/2014, 21:20

... Cambridge Studies in Advanced Mathematics 29, Cambridge University Press, 1990 [5] Charmaine Sia, Hurwitz Equivalence in Tuples of Dihedral Groups, Dicyclic Groups, and Semidihedral Groups, The Electronic ... rotations in T and reflections in T respectively. Let i rot be the index of S rot in C m and i ref the index of S ref in D m . We remark that S r...

Ngày tải lên: 08/08/2014, 12:23

... the number of inversion pairs of τ involving 2’s and 1’s or 2’s and 0’s. Similarly, the number of inversion pairs of Π of the form (x, y)withrow x of length i, row y of length i +1 and y not a ... journal of combinatorics 10 (2003), #R16 14 from the word the inversions involving 1’s and 0’s still remain, and become part of the area count of the truncated Π. The n...

Ngày tải lên: 07/08/2014, 07:21

... D.MubayiandV.R¨odl, On the Tur´an number of triple systems, J. Combin. Theory (A) 100 (2002), 135–152. the electronic journal of combinatorics 10 (2003), #R18 7 3 Proof of Theorem 1 The proof consists ... forbidden subhypergraph. The independence properties of A and C will play a crucial role in our proof. Following [7] we make the following definitions. Let F 2 = {F 2,3 } consist...

Ngày tải lên: 07/08/2014, 07:21

... proof of Lemma 3.2. We say that a Bruhat interval [u, v] is dihedral if it is isomorphic to an interval in a dihedral reflection subgroup. In this section, we compute the complete cd-index of dihedral ... cd-index of [u, v], and it is denoted by  ψ u,v (c, d). Notice that the complete cd-index of [u, v] is an encoding of the distribution of the descent sets of each p...

Ngày tải lên: 08/08/2014, 14:23

... the beginning of this proof. Thus, in either case x is locally equivalent to y, and the theorem is proved. ✷ PROOFOFTHEOREM2. The proof below exactly follows the proof of Proposition 5.1 in [1]. Take ... V n of n -tuples of elements of M forms the Hamming graph; two n -tuples being adjacent whenever they differ in only one coordinate. Ev- ery matroid structure on M determin...

Ngày tải lên: 07/08/2014, 06:20

... obtained only by engineering the interface between the p-type a-SiC:H and AZO and shows that a large increase in the solar cell efficiency can be obtained by using nc-Si as a buffer layer. In ... resulting in an increase in the FF and cell efficiency. The best cell performance obtained in this study is by using nc-Si as a buffer layer since it provides better optical trans...

Ngày tải lên: 20/06/2014, 20:20

... N.C.: Information Age Pub. Chen, Yea-Fen and Shih-Chang Hsin. 2011. The development of TCSL teacher training in Taiwan . In Teaching and learning Chinese in global contexts, eds. Linda Tsung and ... minority groups in the People’s Republic of China (Hu and Alsagoff 2010; Zhou and Sun 2004) and Taiwan (Chen and Hsin 2011); in post-colonial contexts such as Singa...

Ngày tải lên: 20/06/2014, 21:20

... current sitting area B (candidate inactivity zone) is detected as false and ignored. In case of no intersection, neighboring inactivity zones I i of B are searched. If neighboring inactivity zones ... applying accumulation of evidence are shownintheformofconfusionmatrixinTable7.The majority of the classifier errors occur during the transi- tion of states, i.e., from sitting to s...

Ngày tải lên: 20/06/2014, 21:20