Results 211 to 220 of about 5,884 (248)

The Automorphism Groups of the Braid Groups

American Journal of Mathematics, 1981
In the first of two papers published in the Annals in 1947 [3] Emil Artin mentioned the problem of determining all automorphisms of the braid groups (of the Euclidean plane), and in the second [4] took a first step towards a solution. The main result of this paper is a complete determination of these automorphism groups: the outer automorphism group is
Dyer, Joan L., Grossman, Edna K.
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Groups of Automorphisms of Tournaments

Order, 2001
The main topic of the paper is to describe the class of weakly associative lattice groups (wal-groups) isomorphic to wal-groups of automorphisms of tournaments. The author shows that the class of wal-groups that can be interpreted as subalgebras of the class of all wal-groups of automorphisms of tournaments is a proper subclass of the class of all wal ...
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Automorphism Groups of Nilpotent Groups

Bulletin of the London Mathematical Society, 1989
Let \({\mathfrak X}\) denote the class of all finitely generated torsion-free nilpotent groups G such that the derived factor group G/G' is torsion- free. For G in \({\mathfrak X}\), let Aut *(G) denote the group of automorphisms of G/G' induced by the automorphism group of G. If G/G' has rank n and we choose a \({\mathbb{Z}}\)-basis for G/G' then Aut *
Bryant, R. M., Papistas, A.
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On Automorphism Groups of the Fields of Automorphic Functions

The Annals of Mathematics, 1972
The purpose of this paper is to determine the group of all automorphisms of the field generated by automorphic functions with respect to infinitely many mutually commensurable discrete subgroups of the group of all automorphisms of a bounded symmetric domain. In the case where either the dimension of the domain is one or the quotient spaces are compact,
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The Automorphism Group of a Lie Group

Transactions of the American Mathematical Society, 1952
Introduction. 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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The Automorphism Groups of Domains

The American Mathematical Monthly, 2005
(2005). The Automorphism Groups of Domains. The American Mathematical Monthly: Vol. 112, No. 7, pp. 585-601.
Kang-Tae Kim, Steven G. Krantz
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Hyperimaginaries and automorphism groups

Journal of Symbolic Logic, 2001
A 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, 2005
An 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, 1990
AbstractA 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.

2006
In 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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