Kazhdan constants of group extensions

2009/02/18 by Uzy Hadad, Hadad, Uzy
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR) #math.CO #math.GR

paper · pdf · doi:10.48550/arxiv.0902.3152

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

arxiv created 2010/07/26 · arxiv updated 2010/07/27

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 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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