Automorphism groups of metabelian groups

1987 ◽  
Vol 41 (1) ◽  
pp. 7-14 ◽  
Author(s):  
G. A. Noskov
Keyword(s):  
Automorphism Groups ◽  
Metabelian Groups

scholarly journals Outer automorphism groups of metabelian groups

2000 ◽  
Vol 149 (3) ◽  
pp. 251-266 ◽  
Author(s):  
Rüdiger Göbel ◽  
Agnes T. Paras
Keyword(s):  
Automorphism Groups ◽  
Outer Automorphism ◽  
Metabelian Groups ◽  
Outer Automorphism Groups

Automorphism Groups of Two Generator Metabelian Groups

1987 ◽  
Vol s2-36 (3) ◽  
pp. 393-406 ◽  
Author(s):  
S. Bachmuth ◽  
G. Baumslag ◽  
J. Dyer ◽  
H. Y. Mochizuki
Keyword(s):  
Automorphism Groups ◽  
Metabelian Groups

Realizing automorphism groups of metabelian groups

1999 ◽  
pp. 309-317 ◽  
Author(s):  
Rüdiger Göbel ◽  
Agnes T. Paras
Keyword(s):  
Automorphism Groups ◽  
Metabelian Groups

Representations of holomorphs of group extensions with Abelian kernels

1975 ◽  
Vol 78 (3) ◽  
pp. 357-368 ◽  
Author(s):  
B. A. F. Wehrfritz
Keyword(s):  
Abelian Group ◽  
Automorphism Group ◽  
Finite Rank ◽  
Automorphism Groups ◽  
Abelian Groups ◽  
Finitely Generated ◽  
Metabelian Groups ◽  
Soluble Groups ◽  
Group Extensions

This paper is devoted to the construction of faithful representations of the automorphism group and the holomorph of an extension of an abelian group by some other group, the representations here being homomorphisms into certain restricted parts of the automorphism groups of smallish abelian groups. We apply these to two very specific cases, namely to finitely generated metabelian groups and to certain soluble groups of finite rank. We describe the applications first.

On the basis-conjugating automorphism groups of free groups and free metabelian groups

2014 ◽  
Vol 158 (1) ◽  
pp. 83-109 ◽  
Author(s):  
TAKAO SATOH
Keyword(s):  
Lie Algebra ◽  
Automorphism Groups ◽  
Free Groups ◽  
Metabelian Groups ◽  
Derivation Algebra ◽  
Trace Maps

AbstractIn this paper we study the images of the Johnson homomorphisms of the basis-conjugating automorphism groups of free groups and free metabelian groups. In particular, we show that the Johnson image is contained in a certain proper Lie subalgebra $\mathfrak{p}$Mn of the derivation algebra of the Chen Lie algebra. Furthermore, we completely determine the Johnson images, and give the abelianisation of $\mathfrak{p}$Mn as a Lie algebra by using Morita's trace maps.

Automorphisms of partially commutative metabelian groups

2020 ◽  
Vol 59 (2) ◽  
pp. 239-259
Author(s):  
E. I. Timoshenko
Keyword(s):  
Metabelian Groups

Pentavalent 1-Transitive Digraphs with Non-Solvable Automorphism Groups

2020 ◽  
Vol 51 (4) ◽  
pp. 1919-1930
Author(s):  
Masoumeh Akbarizadeh ◽  
Mehdi Alaeiyan ◽  
Raffaele Scapellato
Keyword(s):  
Automorphism Groups
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