Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/503

 Title: The Automorphism Group of the Free Algebra of Rank Two Authors: Cohn, P. Keywords: Free AlgebraFree Product with AmalgamationAffine AutomorphismLinear AutomorphismBipolar Structure Issue Date: 2002 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 28, No 3, (2002), 255p-266p Abstract: The theorem of Czerniakiewicz and Makar-Limanov, that all the automorphisms of a free algebra of rank two are tame is proved here by showing that the group of these automorphisms is the free product of two groups (amalgamating their intersection), the group of all affine automorphisms and the group of all triangular automorphisms. The method consists in finding a bipolar structure. As a consequence every finite subgroup of automorphisms (in characteristic zero) is shown to be conjugate to a group of linear automorphisms. URI: http://hdl.handle.net/10525/503 ISSN: 1310-6600 Appears in Collections: Volume 28 Number 3

Files in This Item:

File Description SizeFormat