Amalgamated free product structure of the tame automorphism group of a free Novikov algebra of rank 2


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Authors

  • B.A. Duisengaliyeva L. N. Gumilyov Eurasian National University
  • A.S. Naurazbekova L. N. Gumilyov Eurasian National University

Keywords:

Differential polynomial algebra, free Novikov algebra, amalgamated free product, tame automorphism

Abstract

The article is devoted to the description the tame automorphism group of a free Novikov algebra of two
generators over a field of characteristic zero. Using a representation of free Novikov algebras by differential polynomial
algebras, some properties of basis words are investigated. It is also proved that the tame automorphism group of a
free Novikov algebra of rank two over a field of characteristic zero admits the amalgamated free product structure of
the affine automorphism group Af2(A) and of the triangular automorphism group T r2(A) with the united subgroup
Af2(A) ∩ T r2(A) .

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Published

2020-03-30

How to Cite

Б.А. Дуйсенгалиева, & А.С. Науразбекова. (2020). Amalgamated free product structure of the tame automorphism group of a free Novikov algebra of rank 2. Bulletin of L.N. Gumilyov Eurasian National University. Mathematics, Computer Science, Mechanics Series, 130(1), 73–81. Retrieved from https://bulmathmc.enu.kz/index.php/main/article/view/64

Issue

Vol. 130 No. 1 (2020)

Section

Статьи