14 citations · 44 across the 30 of their papers we have counts for
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math.RA2006
Defining relations for automorphism groups of free algebras
Ualbai Umirbaev
We describe a set of defining relations for automorphism groups of finitely generated free algebras of Nielsen-Schreier varieties. In particular, this gives a representation of the…
math.RA2006★ 3 cited
The Anick automorphism of free associative algebras
Ualbai Umirbaev
We prove that the well-known Anick automorphism of the free associative algebra F<x,y,z> over an arbitrary field F of characteristic 0 is wild.
math.AG2006
Defining relations of the tame automorphism group of polynomial algebras in three variables
Ualbai Umirbaev
We describe a set of defining relations of the tame automorphism group TA_3(F) of the polynomial algebra F[x_1,x_2,x_3] in variables x_1,x_2,x_3 over an arbitrary field F of charac…