Results 181 to 190 of about 13,820 (216)
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Outer Automorphism Groups of Contragredient Lie Superalgebras
Algebras and Representation Theory, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Meng-Kiat Chuah, Mingjing Zhang
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Outer automorphism groups of certain 1-relator groups
Science China Mathematics, 2010A group \(G\) is `conjugacy separable' if for any non-conjugate elements \(x\) and \(y\) of \(G\), there exists some finite quotient of \(G\) in which the images of \(x\) and \(y\) are non-conjugate. The class of conjugacy separable groups that have residually finite outer automorphism groups is known to include all Fuchsian groups and all cyclically ...
Kim, Goansu, Tang, C. Y.
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ALL GROUPS ARE OUTER AUTOMORPHISM GROUPS OF SIMPLE GROUPS
Journal of the London Mathematical Society, 2001It 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 ...
Droste, Manfred +2 more
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Finite Outer Automorphism Groups of Crystallographic Groups
Experimental Mathematics, 2013We 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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Automorphisms of Free Groups and Outer Space
Geometriae Dedicata, 2002This 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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OUTER AUTOMORPHISM GROUPS OF FINITE -NILPOTENT GROUPS
Communications in Algebra, 2002ABSTRACT When does a finite group possess a non-trivial outer automorphism? In this paper for a finite -nilpotent group we shall prove the following results. a. If , then divides the order of b. If is non-abelian, then divides the order of . Our results extend a famous theorem of Gaschutz and can be applied to the investigation of finite complete ...
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On coleman outer automorphism groups of finite groups
Acta Mathematica Scientia, 2014Abstract 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.
Jinke HAI, Zhengxing LI
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ON OUTER AUTOMORPHISM GROUPS OF FREE PRODUCT FACTORS
International Journal of Mathematics, 2002In this paper, we answer the Dixmier's question for type II 1-factors with property T in the negative, that is, if G is a discrete i.c.c group with property T of Kazhdan, L(G) is not isomorphic to [Formula: see text] for any factor [Formula: see text] of type II 1.
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Finite groups of outer automorphisms of free groups
Siberian Mathematical Journal, 1992In 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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