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Amalgamated Products of Groups II: Measures of Random Normal Forms
Amalgamated Products Measures of Random Normal Forms Group Theory
2011/9/15
Abstract: Let $G=\mathop{A\ast B}\limits_C$ be an amalgamated product of finite rank free groups $A$, $B$ and $C$. We introduce atomic measures and corresponding asymptotic densities on a set of norma...
Subdirect products of groups and the n-(n+1)-(n+2) theorem
fibre products subdirect products subgroup structure finiteness properties
2011/9/5
Abstract: We analyse the subgroup structure of direct products of groups. In particular, we seek to relate the finiteness properties of a group to the ways in which it embeds non-trivially into a dire...
On Nilpotent Multipliers of Some Verbal Products of Groups
Nilpotent multiplier Verbal product Nilpotent product Cyclic group
2011/1/19
The paper is devoted to finding a homomorphic image for the c-nilpotent multiplier of the verbal product of a family of groups with respect to a variety V when V ⊆ Nc or Nc ⊆ V. Also a str...
Subgroup Distortion in Wreath Products of Cyclic Groups
Subgroup Distortion Wreath Products of Cyclic Groups
2010/12/10
We study the effects of subgroup distortion in the wreath products A wr Z, where A is finitely generated abelian. We show that every finitely generated subgroup of A wr Z has distortion function bound...
Dilations of semigroup crossed products as crossed products of dilations
Dilations of semigroup crossed products of dilations
2010/12/14
Laca constructed a minimal automorphic dilation for every semigroup dynamical system arising from an action of an Ore semigroup by injective endomorphisms of a unital C-algebra. Here we show that the...