Kazhdan constants of group extensions
Group Theory
2010-07-27 v2 Combinatorics
Abstract
We give bounds on Kazhdan constants of abelian extensions of (finite) groups. As a corollary, we improved known results of Kazhdan constants for some meta-abelian groups and for the relatively free group in the variety of -groups of lower -series of class 2. Furthermore, we calculate Kazhdan constants of the tame automorphism groups of the free nilpotent groups.
Cite
@article{arxiv.0902.3152,
title = {Kazhdan constants of group extensions},
author = {Uzy Hadad},
journal= {arXiv preprint arXiv:0902.3152},
year = {2010}
}
Comments
19 pages, minor changes, added references, To appear in International Journal of Algebra and Computation ?(IJAC)?