Báo cáo toán học: "Automorphism groups of wreath product digraph" pdf

... (di)graph Γ of Z p × Z p 2 which can be written as a wreath product of a Cayley (di)graph of Z p and a Cayley (di)graph of Z p 2 and can also be written as a wreath product of a Cayley (di)graph of Z p 2 × ... proceed with the proof of the theorem. Proof. Let Q be a partition of the vertices of D into sets of vertices, each of which induces a connected component...

Ngày tải lên: 07/08/2014, 21:21

... of these orbital digraphs, and as the 2-closure is the intersection of the automorphism groups of all orbital digraphs, we have that G (2) = S 3 ≀ S p . This completes the proof of part (1) of ... primitive group of prime-power degree not a power of 3 is either a subgroup of AGL(m, p) or of S n ≀ S p i with the product action. We remark that the results in this section a...

Ngày tải lên: 08/08/2014, 01:20

... automorphism groups of trees are fully understood [Ser80]. Let G T be the class of groups that are represented by the automorphism groups of trees and G F represented by automorphisms of forests 2 . ... pairs of groups in G T delete to each other? Another interesting aspect of our construction is that the resulting graphs are very large, with the order of the graphs cubi...

Ngày tải lên: 08/08/2014, 12:22

Ngày tải lên: 05/08/2014, 15:20

... a sequence ˜ S of length m which consists of all nonzero eigen- values of X n such that the number of appearences of an eigenvalue is its multiplicity. the electronic journal of combinatorics ... journal of combinatorics 14 (2007), #R45 7 2. The multiplicity of zero as an eigenvalue of X n is n − m. 3. If α(λ) is the multiplicity of the eigenvalue λ of X n , then λα(λ) i...

Ngày tải lên: 07/08/2014, 15:22

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Ngày tải lên: 05/08/2014, 15:20

Ngày tải lên: 05/08/2014, 15:20

Ngày tải lên: 05/08/2014, 15:21

... one calculate the Fibonacci length of G×H (external direct product of groups G and H) in terms of the Fibonacci lengths of G and H? For a finite number of the groups G 1 ,G 2 , , G k we use the ... 2, 1, if i =3or 4. ProofofPropositionE.Let {x j } ∞ j=1 be the Fibonacci sequence of Q 2 n with respect to A i . We consider three cases Fibonacci Length of Direct Products of...

Ngày tải lên: 06/08/2014, 05:20