Structure of amalgamated free work in groups automorphisms


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Authors

  • A.A. Alimbaev Kostanay State Pedagogical University named after U.Sultangazin

Keywords:

automorphism, tame automorphism, free product of groups, euclidean domain

Abstract

One class of varieties of algebras is defined, where the group of tame automorphisms of free two-generated
algebras admits the structure of an amalgamated free product over an arbitrary integrity domain. Proved the reducibility
of tame automorphisms of free two-generated algebras of these varieties over Euclidean domains. It is proved that the
generalization of Nagata automorphism is a wild automorphism of free algebras of these varieties from two variables over
Euclidean domains.

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Published

2019-01-30

How to Cite

А.А. Алимбаев. (2019). Structure of amalgamated free work in groups automorphisms. Bulletin of L.N. Gumilyov Eurasian National University. Mathematics, Computer Science, Mechanics Series, 126(1), 52–61. Retrieved from https://bulmathmc.enu.kz/index.php/main/article/view/41

Issue

Vol. 126 No. 1 (2019)

Section

Статьи