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math.GR2004★ 2 cited
On Bergman's property for the automorphism groups of relatively free groups
Vladimir Tolstykh
We say that a group has Bergman's property (the property of universality of finite width) if for every generating set of with we have that for some n…
math.GR2004★ 3 cited
Infinite-dimensional general linear groups are groups of universally finite width
Vladimir Tolstykh
Recently George Bergman proved that the symmetric group of an infinite set possesses the following property which we call by the {\it universality of finite width}: given any gener…