Results 201 to 210 of about 83,964 (235)

Automorphisms of Free Groups and Outer Space

Geometriae Dedicata, 2002
This is a survey on recent results on the automorphism groups \(\Aut(F)\) and outer automorphism groups \(\text{Out}(F)\) of finitely generated free groups, concentrating mainly on results obtained by geometric methods, and in particular by studying actions of \(\Aut(F)\) and \(\text{Out}(F)\) on suitable geometric objects. Many of these recent methods
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Finite groups of outer automorphisms of free groups

Siberian Mathematical Journal, 1992
In 1989 V. D. Mazurov and D. G. Khramtsov have completed the classification of finite groups of outer automorphisms of a finitely generated free group \(F_ n\) in relation to its rank \(n\) up to isomorphism. The list of such groups consists of 1) all subgroups of direct products \(H_ \nu = \prod^ s_{i = 1} (S_{m_ i}\wr_ \pi S_{k_ i})\) of permutation ...
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ALL GROUPS ARE OUTER AUTOMORPHISM GROUPS OF SIMPLE GROUPS

Journal of the London Mathematical Society, 2001
It is shown that each group is the outer automorphism group of a simple group. Surprisingly, the proof is mainly based on the theory of ordered or relational structures and their symmetry groups. By a recent result of Droste and Shelah, any group is the outer automorphism group Out (Aut T) of the automorphism group Aut T of a doubly homogeneous ...
Manfred Droste, Michèle Giraudet, Rüdiger Göbel   +2 more
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On the injectivity of the homomorphisms from the automorphism groups of fields to the outer automorphism groups of the absolute Galois groups

Research in Number Theory, 2023
Yuichiro Hoshi, Shota Tsujimura
semanticscholar   +1 more source

Torsion in the Outer Automorphism Groups of Generalized Baumslag–Solitar Groups

Siberian mathematical journal, 2023
F. Dudkin, Y. Nanying
semanticscholar   +1 more source

Finite Outer Automorphism Groups of Crystallographic Groups

Experimental Mathematics, 2013
We present an algorithmic approach to the problem of calculating finite outer automorphism groups of crystallographic groups. As an intermediate product in the process, we get automorphism groups of those groups as well. In the special case of Bieberbach groups, the algorithm can be used to get information about the structure of symmetry groups of flat
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On the outer automorphism groups of the absolute Galois groups of mixed-characteristic local fields

Research in Number Theory, 2022
Yuichiro Hoshi, Y. Nishio
semanticscholar   +1 more source

On coleman outer automorphism groups of finite groups

Acta Mathematica Scientia, 2014
Abstract Let G be a finite group and Out Col (G) the Coleman outer automorphism group of G (for the definition, see below). The question whether Out Col (G) is a p′-group naturally arises from the study of the normalizer problem for integral group rings, where p is a prime.
Zhengxing Li, Jinke Hai
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Outer Automorphism Groups of Contragredient Lie Superalgebras

Algebras and Representation Theory, 2021
Meng‐Kiat Chuah, Mingjing Zhang
semanticscholar   +1 more source

Outer Automorphisms of Nilpotent Groups

Bulletin of the London Mathematical Society, 1981
Thomas A. Fournelle, Thomas A. Fournelle
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