Automorphisms of partially commutative metabelian groups
E. I. Timoshenkoab
a Novosibirsk State Technical University
b Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Automorphisms of a partially commutative metabelian group whose defining graph contains no cycles are studied. It is proved that an $IA$-automorphism of such a group is identical if it fixes all hanging and isolated vertices of the graph. The concepts of a factor automorphism and of a matrix automorphism are introduced. It is stated that every factor automorphism is represented as the product of an automorphism of the defining graph and a matrix automorphism.
automorphism, partially commutative group, metabelian group.
PDF file (282 kB)
First page: PDF file
E. I. Timoshenko, “Automorphisms of partially commutative metabelian groups”, Algebra Logika, 59:2 (2020), 239–259
Citation in format AMSBIB
\paper Automorphisms of partially commutative metabelian groups
\jour Algebra Logika
Citing articles on Google Scholar:
Related articles on Google Scholar:
|Number of views:|