Báo cáo toán hoc:" Hurwitz Equivalence in Tuples of Dihedral Groups, Dicyclic Groups, and Semidihedral Groups" pptx
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...
Báo cáo toán học: "Hurwitz Equivalence in Tuples of Generalized Quaternion Groups and Dihedral Groups" docx
... 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...
Báo cáo toán học: "Hurwitz Equivalence in Dihedral Groups" pptx
... 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...
Báo cáo toán học: "A Schr¨der Generalization of Haglund’s Statistic on o Catalan Paths" pptx
... 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...
Báo cáo toán học: "The Tur´n Density of the Hypergraph a {abc, ade, bde, cde}" pptx
... 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...
Báo cáo toán học: "The complete cd-index of dihedral and universal Coxeter groups" docx
... 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...
Báo cáo toán học: " Local equivalence of transversals in matroids" pptx
... 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...
Báo cáo toán học: " Interface modification effect between p-type a-SiC:H and ZnO:Al in p-i-n amorphous silicon solar cells" potx
... 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...
Báo cáo toán học: " Code choice in the Chinese as a foreign language classroom" pot
... 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...
Báo cáo toán học: " Context-aware visual analysis of elderly activity in a cluttered home environment" docx
... 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...