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Palindromic width of wreath products, metabelian groups, and max-n solvable groups
wreath products metabelian groups
2015/8/26
A group has finite palindromic width if there exists n such that every element can be expressed as a product of n or fewer palindromic words. We show that if G has finite palindromic width with respec...
Wreath products are a type of semidirect product. They play an important
role in group theory. This paper studies the basic behavior of simple random
walks on such groups and shows that these walks ...
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...