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...

Ngày tải lên: 07/08/2014, 06:20

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Ngày tải lên: 05/08/2014, 09:46

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Ngày tải lên: 05/08/2014, 15:20

... 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...

Ngày tải lên: 07/08/2014, 07:21

... 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...

Ngày tải lên: 07/08/2014, 21:21

... 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...

Ngày tải lên: 07/08/2014, 21:21

... 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...

Ngày tải lên: 07/08/2014, 06:23

... 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...

Ngày tải lên: 07/08/2014, 07:21

... 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...

Ngày tải lên: 07/08/2014, 08:22

... ,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...

Ngày tải lên: 08/08/2014, 01:20