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math.GR2012
On words that are concise in residually finite groups
Cristina Acciarri, Pavel Shumyatsky
A group-word w is called concise if whenever the set of w-values in a group G is finite it always follows that the verbal subgroup w(G) is finite. More generally, a word w is said…
math.RA2012
Double automorphisms of graded Lie algebras
Cristina Acciarri, Pavel Shumyatsky
We introduce the concept of a double automorphism of an A-graded Lie algebra L. Roughly, this is an automorphism of L which also induces an automorphism of the group A. It is clear…