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- University of Tennessee at KnoxvilleUS116 papers
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6 papers · 2 filters
Approximating the first -betti number of residually finite groups
W. Lück, D. Osin
We show that the first -betti number of a finitely generated residually finite group can be estimated from below by using ordinary first betti numbers of finite index normal s…
Universal tree-graded spaces and asymptotic cones
Denis Osin, Mark Sapir
We define and give explicit construction of the universal tree-graded space with a given collection of pieces. We apply that to proving uniqueness of asymptotic cones of relatively…
Distortion in Free Nilpotent Groups
Tara Davis
We prove that a subgroup of a finitely generated free nilpotent group F is undistorted if and only if it is a retract of a subgroup of finite index in F.
Subgroup Distortion in Wreath Products of Cyclic Groups
Tara Davis, Alexander Olshanskii
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 disto…
Conjugacy Growth in Polycyclic Groups
M. Hull
In this paper, we consider the conjugacy growth function of a group, which counts the number of conjugacy classes which intersect a ball of radius centered at the identity. We…
A Note on Element Centralizers in Finite Coxeter Groups
Matjaž Konvalinka, Götz Pfeiffer, Claas Röver
The normalizer of a standard parabolic subgroup of a finite Coxeter group splits over the parabolic subgroup with complement consisting of certain minima…