Results 201 to 210 of about 9,040,817 (231)
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The Automorphism Group of a Lie Group
Transactions of the American Mathematical Society, 1952Introduction. The group A (G) of all continuous and open automorphisms of a locally compact topological group G may be regarded as a topological group, the topology being defined in the usual fashion from the compact and the open subsets of G (see ?1). In general, this topological structure of A (G) is somewhat pathological.
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Bulletin of the London Mathematical Society, 1998
Let \(A\) be a group of automorphisms of the finite group \(G\) such that \((|A|,|G|)=1\). The authors prove that \(|A|0\), groups \(G\) and \(A\leq\Aut(G)\) can be found such that \((|A|,|G|)=1\) and \(|A|>|G|^{2-\varepsilon}\). Furthermore, if \(A\) is nilpotent of class at most 2, then \(|A|
Pálfy, P. P., Pyber, L.
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Let \(A\) be a group of automorphisms of the finite group \(G\) such that \((|A|,|G|)=1\). The authors prove that \(|A|0\), groups \(G\) and \(A\leq\Aut(G)\) can be found such that \((|A|,|G|)=1\) and \(|A|>|G|^{2-\varepsilon}\). Furthermore, if \(A\) is nilpotent of class at most 2, then \(|A|
Pálfy, P. P., Pyber, L.
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Hyperimaginaries and automorphism groups
Journal of Symbolic Logic, 2001A hyperimaginary is an equivalence class of a type-definable equivalence relation on tuples of possibly infinite length. The notion was recently introduced in [1], mainly with reference to simple theories. It was pointed out there how hyperimaginaries still remain in a sense within the domain of first order logic.
Daniel Lascar, Anand Pillay
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Noetherian Automorphisms of Groups
Mediterranean Journal of Mathematics, 2005An automorphism α of a group G is called a noetherian automorphism if for each ascending chain $$ X_1 < X_2 < \ldots < X_n < X_{n + 1} < \ldots $$ of subgroups of G there is a positive integer m such that \(X_n^{\alpha} = X_n \) for all n ≥ m. The structure of the group of all noetherian automorphisms of a group is investigated in this paper.
DE GIOVANNI, FRANCESCO, DE MARI, FAUSTO
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Automorphism groups of pictures
Journal of Graph Theory, 1990AbstractA picture is a simple graph together with an edge‐coloring, such that each vertex is incident with exactly one edge of each color. An automorphism of a picture is a graph automorphism that preserves the colors of the edges. We show that every group is isomorphic to the full automorphism group of a picture, and prove that a group is isomorphic ...
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On the automorphisms of the Cremona group.
2006In the recent paper [\textit{J. Déserti}, J. Algebra 297, No.~2, 584--599 (2006; Zbl 1096.14046)] the author has established that, over an uncountable field \(k\) of characteristic 0, the automorphism group of the group of algebraic automorphisms \(\text{Aut}(k^2)\) of the affine plane is generated by the inner automorphisms of \(\text{Aut}(k^2)\) and ...
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Automorphism groups ofFC-groups
Archiv der Mathematik, 1983Robinson, D. J. S. +2 more
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The automorphism group of a certain unbounded non-hyperbolic domain
Journal of Mathematical Analysis and Applications, 2014Atsushi Yamamori
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Automorphism groups of Cayley graphs on symmetric groups with generating transposition sets
Journal of Combinatorial Theory Series B, 2006Yan-Quan Feng
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