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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...
We give examples of CAT(0), biautomatic, free–by–cyclic, one–relator groups which have finite–rank free subgroups of huge (Ackermannian) distortion. This leads to elementary examples of groups whose D...
We study the rate of convergence of symmetric random walks on finite
groups to the uniform distribution. A notion of moderate growth is introduced
that combines with eigenvalue techniques to give sh...
THE INTEGRAL K-THEORETIC NOVIKOV CONJECTURE FOR GROUPS WITH FINITE ASYMPTOTIC DIMENSION
K-THEORETIC integral
2015/7/7
The goal of this paper is to apply the techniques developed by the first author
in [3] to verify the integral Novikov conjecture for groups with finite asymptotic
dimension as defi...
Noether's problem for some 2-groups
Noether’s problem rationality problem the inverse Galois problem
2010/12/6
Let G be a finite group and k be a field. Let G act on the rational function field k(xg : g ∈ G) by k-automorphisms defined by g · xh = xgh for any g, h ∈ G. Noether’s problem asks whether the fixed f...
Almost Automorphic Groups and Semigroups in Fréchet Spaces
almost automorphic asymptotically almost automorphic mild solutions semigroups of linear operators Fréchet spaces
2008/11/25
In this paper we characterize almost automorphic and asymptotically almost automorphic
groups and semigroups in Fréchet spaces.