scholarly journals Defining relations of the tame automorphism group of polynomial algebras in three variables

2006 ◽  
Vol 2006 (600) ◽  
Author(s):  
U. U Umirbaev
Keyword(s):  
Automorphism Group ◽  
Polynomial Algebras ◽  
Defining Relations ◽  
Tame Automorphism

AUTOMORPHISMS OF RELATIVELY FREE GROUPS IN THE VARIETY N2A ∧ AN2 ∧ Nc

2001 ◽  
Vol 63 (3) ◽  
pp. 607-622 ◽  
Author(s):  
ATHANASSIOS I. PAPISTAS
Keyword(s):  
Automorphism Group ◽  
Free Group ◽  
Finite Index ◽  
Finite Rank ◽  
Free Groups ◽  
Finite Set ◽  
Tame Automorphism ◽  
Positive Integers ◽  
Relatively Free Group

For positive integers n and c, with n [ges ] 2, let Gn, c be a relatively free group of finite rank n in the variety N2A ∧ AN2 ∧ Nc. It is shown that the subgroup of the automorphism group Aut(Gn, c) of Gn, c generated by the tame automorphisms and an explicitly described finite set of IA-automorphisms of Gn, c has finite index in Aut(Gn, c). Furthermore, it is proved that there are no non-trivial elements of Gn, c fixed by every tame automorphism of Gn, c.

scholarly journals On the Closure of the Tame Automorphism Group of Affine Three-Space

2014 ◽  
Vol 2015 (19) ◽  
pp. 9736-9750 ◽  
Author(s):  
Éric Edo ◽  
Pierre-Marie Poloni
Keyword(s):  
Automorphism Group ◽  
Tame Automorphism ◽  
Three Space
Sign in / Sign up

Export Citation Format

Share Document