The Automorphism Group
On the Automorphism Group of Distinct Weight Codes
... We consider, without loss of generality, that a generator matrix of a DW-code has no zero columns. Indeed, if this is the case, the zero columns are omitted and we consider the obtained DW-code. This assumption is made ...
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On the automorphism group of Cayley graphs generated by transpositions
... the automorphism group of the modified bubble sort graph of dimension n is S n × D 2n , for all n ≥ ...the automorphism group of the modified bubble-sort graph is ...
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Novel Techniques to Speed Up the Computation of the Automorphism Group of a Graph
... Graph automorphism (GA) is a classical problem, in which the objective is to compute the automorphism group of an input ...the automorphism group of an input ...
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The automorphism group of the toroidal queen’s graph
... 1 Introduction Consider an n × n chessboard covering the surface of a torus. We may cut the torus along the ring separating two adjacent columns and along the ring separating two adjacent rows, and draw the resulting ...
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On the automorphism group of cubic polyhedral graphs
... An automorphism of graph X = ( V, E ) is a bijection β on V which preserves the edge set ...a group on V ( X ) denoted by Aut ( X ) ...graph automorphism. Also, quantitative measures based on graph ...
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On the automorphism group of inversive planes of odd order
... involution which is central in G. Moreover, there is at most one group of each type. Let G ∗ be the subgroup of G consisting of the automorphisms inducing even permutations on the points of J . If L = γ , then ...
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The automorphism group for $p$-central $p$-groups
... a group G is the central product of two subgroups H and K if (a) [H, K] = 1, (b) G = HK, and (c) H ∩ K = Z(G); and a group is modular if each subgroup commutes with every other subgroup, ...
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Properties of the automorphism group and a probabilistic construction of a class of countable labeled structures
... © 2012 Elsevier Inc. All rights reserved. 1. Introduction A structure A is ultrahomogeneous if every isomorphism between finitely generated substructures (that is, a finite partial automorphism) of A extends to a ...
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Automorphism group of the balanced hypercube ∗
... the automorphism group of BH n is known, one may ask: Does BH n have a stronger symmetry property? In this paper, we show that BH n is arc-transitive but not ...
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Automorphism Group of an Inverse Fuzzy Automaton
... the automorphism group of an inverse fuzzy automaton and prove that it is equal to a subgroup of the symmetric inverse monoid of one one partial fuzzy transformations on Q ...
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A description of an automorphism of a non-split metacyclic p-group
... the automorphism group of a non-split metacyclic p-group for an odd prime p so that { does indeed represent an automorphism of the group ...
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Automorphism group and subfields of the generalized Giulietti-Korchmáros function field
... THE AUTOMORPHISM GROUP OF THE GENERALIZED GK FUNCTION FIELD In this chapter, we will describe the automorphism group of C n ...the automorphism group was computed by Giuliettti ...
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Automorphism Group of a Possible 2-(121, 16, 2) Symmetric Design
... the automorphism group of ...of automorphism of prime order of Aut(D) is studied, and some results are obtained about the number of fixed points of these ...the automorphism groups of a ...
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Lie group structures on automorphism groups of real analytic CR manifolds
... Acknowledgement. The third author would like to thank A. Isaev for helpful discussions. 2. New sufficient conditions for the automorphism group being a Lie group Let M be a real-analytic manifold and ...
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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 ...
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Commensurability of automorphism groups
... 1. Introduction Often, when a mathematical object is drawn in some “random” manner, the probability that it is isomorphic to a given object is inversely proportional to the size of the automorphism group of ...
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On automorphism groups of affine surfaces
... 8.3. Automorphism groups of A 1 -fibrations 46 References 51 ...the automorphism groups of affine algebraic surfaces and algebraic group actions on such ...the automorphism group, ...
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Eight dimensional real absolute valued algebras with left unit whose automorphism group is trivial
... orthogonal group ᏻ 7 ( R ), all eight-dimensional real absolute-valued algebras with left unit, and we solve the isomorphism ...the automorphism group those algebras which contain ...
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1 ) with an automorphism σ such that σ generates a normal subgroup of the group G of automorphisms, and g (X /hσi
... 1. Introduction In this paper we consider cyclic algebraic curves, over the complex numbers. These are by definition compact Riemann surfaces X of genus g > 1 (unless we allow singular points, as noted below, so as ...
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The structure of automorphism groups of semigroup inflations
... the automorphism group of a semigroup being an inflation of its proper subsemigroup decomposes into a semidirect product of two groups one of which is a direct sum of full symmetric ...
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