Báo cáo toán học: " Line-transitive Automorphism Groups of Linear Spaces1" pptx
Báo cáo toán học: " Line-transitive Automorphism Groups of Linear Spaces1" pptx
... use of the language of linear spaces by a
number of authors as well as the need to study the fixed points of automorphisms. Such subsets inherit
the structure of the linear space but not of the ... Martino. The group of automorphisms of a transitive 2-(91,6,1) design,
Geom. Dedicata 31 (1989) 151–164.
[6] A. R. Camina and C. E. Praeger. Line-transitive automorphism gro...
Báo cáo toán học: "Completely bounded maps of C*-algebras " pptx
... h 1" alt =""
Báo cáo toán học: "The minimum number of monotone subsequences" pptx
... A
i
.Now,thevaluesofc
i
for
i ∈ S
0
are the values of R
0
in descending order; the values of c
i
for i ∈ S
k
are the values
of L
k
in descending order; the values of c
i
for i ∈ B
j
are the values of L
j
in ... our sequence of the values in
L
i
and R
i
are disjoint subsets of [s
i
− k +1,s
i
+ k − 2]; let B
i
be the set of positions of
the values in L
i
,andletB
i
be the...
Báo cáo toán học: "Bartholdi Zeta Functions of Fractal Graphs" pptx
... journal of combinatorics 16 (2009), #R30 9
Proof. The first formula is clear. We prove the second formula. The proof is an
analogue of the proof of Lemma 1 in [21].
We count the paths of length ... proof of Theorem 1, and discussed three
different zeta functions of any graph. Various proofs of Bass’ theorem were known. Kotani
and Sunada [15] proved Bass’ theorem by using the prope...
Báo cáo toán học: "Maximal flat antichains of minimum weight" pptx
... journal of combinatorics 16 (2009), #R69 4
1 Introduction
Let n ≥ 2 be an integer and [n] := {1, 2, . . . , n}. By 2
[n]
we denote the f amily of all subsets
of [n] and by
[n]
k
the fa mily of ... show
that G is isomorphic to one of the graphs listed in the theorem.
According to (10) in the proof of Theorem 1 , (13) is equivalent to
the electronic journal of combinatorics 16...
Báo cáo toán học: "On the orbits of Singer groups and their subgroups" pot
... orbits of Singer
groups or subgroups of Singer groups. It seems, however, that only point (and, in the case
the electronic journal of combinatorics 9 (2002), #R15 8
orbits of any Singer cycle of ... a subspace of V ,sayof
co-dimension c, such that the union of all images of W under τ covers all elements of
V .ThenG acts transitively on the set W \G of right cosets of...
Báo cáo toán học: "Regular character tables of symmetric groups" docx
... as the product
of all parts of all partitions of n. It also equals b
n
, which is defined as the product of all
factorials of all multiplicities of parts in partitions of n. Proofs of this may be ... be the number of partitions of n. The number p
∗
(n)
of regular partitions of n equals the number of class regular partitions of n and then
p
(n)=p(n) − p
∗
(n) is th...
Báo cáo toán học: " The order dimension of Bruhat order on infinite Coxeter groups" potx
... The set ∆ of simple roots of Φ is the minimal subset of Φ
with the property that every α ∈ Φ
+
is in the nonnegative linear span of ∆. In particular
∆ is a basis for the linear span of Φ.
the ... union of sets
each of which is finite. By induction, the union is over a finite number of terms.
The affine Coxeter groups and the compact hyperbolic Coxeter groups satisfy the
co...
Báo cáo toán học: " Gelfand–Graev characters of the finite unitary groups" pdf
... ,m
ℓ
)
=
symplectic tableaux of shape λ/(m
0
)
and weight (m
0
, m
1
, . . . , m
ℓ
)
. (4.1)
A tiling of λ by dominoes is a partition of the boxes of λ into pairs of a djacent boxes.
Fo r example, ... the proof of Theorem 5.2. Therefore, Q is exactly the battery tableau
obtained in the proof of Theorem 5.2, and so we have χ
λ
, Γ
(k,ν)
= 1.
Note that by Corollary 5.1, con...