[PDF] Top 20 Automorphism Group of a Possible 2-(121, 16, 2) Symmetric Design
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Automorphism Group of a Possible 2-(121, 16, 2) Symmetric Design
... a symmetric 2-(121, 16, 2) design with the automorphism group of ...of automorphism of prime order of Aut(D) is studied, and some results are obtained about the number of ... See full document
5
On the Symmetric Block Design with Parameters (306,61,12) Admitting a Group of Order 61
... An automorphism of a orbit structure is a permutation of rows followed by a per- mutation of columns leaving that matrix ...a group, which we call the automorphism group of that orbit ...a ... See full document
7
On the Symmetric Block Design with Parameters (210,77,28) Admitting a Frobenius Group of Order 57
... of symmetric designs are known and all of them have shown to be effective in certain ...certain automorphism group acts on the design we want to construct, used by ...a symmetric ... See full document
12
ON THE SYMMETRIC BLOCK DESIGN WITH PARAMETERS (231,70,21) ADMITTING A GROUP OF ORDER 23
... Proof. By [11, Theorem 3.1] the group h ρ i fixes the same number of points and blocks. Denote that number by f. Obviously f ≡ 231(mod 23), i.e. f ≡ 1 (mod 23). The upper bound (1) for the number of fixed points ... See full document
22
Transitive $t$-designs and strongly regular graphs constructed from linear groups $L(2,q)$, $q \leq 23$
... Section 2. Each subsection contains the information about the linear group that we used, subgroups of the group and it’s properties and the data about obtained ...(t- design and strongly ... See full document
22
Lie group structures on automorphism groups of real analytic CR manifolds
... additional parameter. We will provide a deformation version of [LM07, Theorem 7.3] which allows us to treat this additional parameter in Theorem 3.2 below. (Note that it is not always possible to parametrize in a ... See full document
16
Lattice-Based Group Signatures and Zero-Knowledge Proofs of Automorphism Stability
... We have implemented the group signature scheme in the C programming language. For the preimage sampling during key generation we use the Fast Fourier version [DP16] of the randomized nearest plane algorithm ... See full document
37
Topological 2 generation of automorphism groups of countable ultrahomogeneous graphs
... Hence if X is finite, then ⟨ X ⟩ is either finite or countable, and if X is infinite then ⟨ X ⟩ has the same cardinality as X. Therefore, if G is uncountable and X is a generating set for G, it follows that | G | = | X | ... See full document
35
1-Designs from the group $PSL_{2}(59)$ and their automorphism groups
... cosets of a maximal subgroup. The word ‘Length’ denotes the length of the orbit of the stabilizer of a point and an entry m(n) determines n orbits of length m. Also, the heading ‘Aut(D)’ denotes the order of the ... See full document
12
Spectral properties of partial automorphisms of a binary rooted tree
... of symmetric group were studied by Evans in [2]; he assigned equal probabilities to the eigenvalues of a randomly chosen automorphism of a regular rooted tree, and considered the random ... See full document
10
Classification of the pentavalent symmetric graphs of order 18p
... is symmetric if its automorphism group is transitive on the arc set of the ...pentavalent symmetric graphs of order 18p, for each prime ...= 2, 7 or 19, and up to isomorphism, there are ... See full document
13
The groups of automorphisms of the Lie algebras of triangular polynomial derivations
... isomorphism classes of well-ordered Artinian sets. The ordinal number (the isomorphism class) of a well-ordered Artinian set (S, ≤) is denoted by ord(S). The class of all ordinal numbers is denoted by W. The class W is ... See full document
29
New Practical Algebraic Public Key Cryptosystem and Some Related Algebraic and Computational Aspects
... The most popular present-day public-key cryptosystems are RSA and ElGamal cryptosystems. Some practical algebraic generalization of the ElGamal cryptosystem is considered-basic modular matrix cryptosystem (BMMC) over the ... See full document
7
Towards a Pólya-Carlson dichotomy for algebraic dynamics
... We cannot prove this, but will show it for a large class of automorphisms of connected finite-dimensional abelian groups (these groups are called solenoids). In addition, the arguments here do we hope make this ... See full document
21
A design investigation into the desired way of influencing people's waiting experience at a future airport
... a design perspective to understand the effect on ...and design interventions are able to achieve the greatest positive ...discuss possible future ... See full document
82
Lentner, Simon (2012): Orbifoldizing Hopf- and Nichols-Algebras. Dissertation, LMU München: Fakultät für Mathematik, Informatik und Statistik
... cover group) of Ω begin a cen- trally extended groupring, now even as a Hopf ...of 2 -cycles necessary to dene the coalgebra structure on the orbifold, already pins down the group elements in the ... See full document
221
Symmetric subgroups in modular group algebras
... Clearly, symmetric subgroups ...modular group algebras that possesses non-trivial symmetric sub- ...of symmetric elements forms a group, that in this case will be ...non-trivial ... See full document
5
The symmetric group and the unitary group : an application of group subgroup transformation theory
... in analogy to the coupling factor and recoupling coefficient of the Racah-Wigner algebra, the symmetries and a calculational method of other transformation factors including the inductio[r] ... See full document
193
Distance Optimization and the Extremal Variety of the Grassmann Variety
... The above results imply that when the eigenvalues of a skew-symmetric matrix are all equal, then its corresponding 2-vector is an element of a set whose distance from the Grassmann variety is maximum. ... See full document
17
4779.pdf
... Since H is abelian, W acts on H by conjugation in a natural way. Via the adjoint representation of G on g, the action of W on H extends to an action on h. Choose any nondegenerate W -invariant symmetric form h, i ... See full document
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