Results 161 to 170 of about 39,756 (284)

On the automorphism group of a tree

Journal of Combinatorial Theory, Series B, 1977
AbstractIt is shown that H = Γ(T)v is normal in G = Γ(Tv) for any tree T and any vertex v, if and only if, for all vertices u in the neighborhood N of v, the set of images of u under G is either contained in N or has precisely the vertex u in common with N and every vertex in the set of images is fixed by H.
K. C. Stacey, Derek A. Holton
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On the prime graphs of the automorphism groups of sporadic simple groups [PDF]

, 2009
summary:In this paper as the main result, we determine finite groups with the same prime graph as the automorphism group of a sporadic simple group, except $J_2$
Khosravi, Behrooz
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Automorphism groups of block structures with and without treatments.

, 1990
A designed experiment has two permutation groups associated with it. The first, consisting of all automorphisms of the block structure (ignoring treatments) determines the strata for the subsequent analysis. The second, comprising all permutations of the
Bailey, Rosemary Anne, Bailey, R. A., R. A. Bailey   +2 more
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Automorphism groups of hyperelliptic Riemann surfaces

, 1987
If G is a group of automorphisms of a hyperelliptic Riemann surface of genus g represented as D/$\Gamma$ where D is the hyperbolic plane and $\Gamma$ a Fuchsian group, then $G\cong \Gamma '/\Gamma$ where $\Gamma$ ' is also a Fuchsian group. Furthermore G
Bujalance García, Emilio, Etayo Gordejuela, José Javier   +1 more
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ON GROUPS WELL REPRESENTED AS AUTOMORPHISM GROUPS OF GROUPS

Journal of Commutative Algebra
Assuming Gödel's axiom of constructibility $\bold V=\bold L,$ we present a characterization of those groups $L$ for which there exist arbitrarily large groups $H$ such that $aut(H) \cong L$. In particular, we show that it suffices to have one such group $H$ such that the size of its center is bigger than $ 2^{|L |+\aleph_0}$.
Asgharzadeh, Mohsen, Golshani, Mohammad, Herden, Daniel, Shelah, Saharon   +3 more
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Symmetry in complex networks

, 2008
We consider the size and structure of the automorphism groups of a variety of empirical ‘real-world’ networks and find that, in contrast to classical random graph models, many real-world networks are richly symmetric.
Sanchez-Garcia, Ruben J., Anderson, James W., MacArthur, Ben D.   +2 more
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Automorphism groups of Hadamard matrices

, 1969
Automorphism groups of Hadamard matrices are related to automorphism groups of designs, and the automorphism groups of the Paley-Hadamard matrices are ...
Kantor, William M.
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ON AUTOMORPHISM GROUPS OF MATRICES

Prikladnaya diskretnaya matematika, 2010
Summary: In this paper we consider the groups of the left (right) automorphisms of matrices and their automorphism groups. Without loss of generality one can take square matrices over the ring of integers. For such a matrix, we suggest the notion of a quasiautomorphism and the correspondent notion of its quasiautomorphism group.
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Automorphism Groups of Quandles

, 2011
This thesis arose from a desire to better understand the structures of automorphism groups and inner automorphism groups of quandles. We compute and give the structure of the automorphism groups of all dihedral quandles.
Macquarrie, Jennifer
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On structural aspects of finite simple groups of Lie type

, 2011
PhDIn this PhD thesis, we consider two problems that are related to finite simple groups of Lie type. First of them is a problem mentioned in the Kourovka notebook: describe the finite simple groups in which every element is a product of two ...
Ramo, Johanna Maria
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