Uzy Hadad

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20062025

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math.GR2010

On Kazhdan constants of finite index subgroups in $S L_{n} (Z)$

Uzy Hadad

We prove that for any finite index subgroup $\Ga$ in $S L_{n} (Z)$ , there exists $k = k (n) \in N$ , $\ep=\ep(\Ga)>0$, and an infinite family of finite index subgroups in $…

math.GR2009

Kazhdan constants of group extensions

Uzy Hadad

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 th…

math.GR2008

On the Shortest Identity in Finite Simple Groups of Lie Type

Uzy Hadad

We prove that the length of the shortest identity in a finite simple group of Lie type of rank $r$ defined over $F_{q}$ , is bounded (from above and below) by explicit polyno…

On Kazhdan constants of finite index subgroups in SLn​(Z)

Kazhdan constants of group extensions

On the Shortest Identity in Finite Simple Groups of Lie Type

On Kazhdan constants of finite index subgroups in $S L_{n} (Z)$