Kazhdan constants of group extensions

Details Kazhdan constants of group extensions Kazhdan constants of group extensions

2009-02-18

arxiv.org/abs/0902.3152v2

Mathematics

Group Theory

19 pages, minor changes, added references, To appear in International Journal of Algebra and Computation ?(IJAC)?

Scientific paper

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
$p$-groups of lower $p$-series of class 2. Furthermore, we calculate Kazhdan
constants of the tame automorphism groups of the free nilpotent groups.

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