5 papers
Crypto Miner Attack: GPU Remote Code Execution Attacks
Ariel Szabo, Uzy Hadad
Remote Code Execution (RCE) exploits pose a significant threat to AI and ML systems, particularly in GPU-accelerated environments where the computational power of GPUs can be misus…
On Kazhdan constants of finite index subgroups in
Uzy Hadad
We prove that for any finite index subgroup $\Ga$ in , there exists , $\ep=\ep(\Ga)>0$, and an infinite family of finite index subgroups in $…
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…
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 defined over , is bounded (from above and below) by explicit polyno…
Uniform Kazhdan Constant for some families of linear groups
Uzy Hadad
Let be a ring generated by elements with stable range . Assume that the group has Kazhdan constant for some . We prove that there exist $ε(ε_0,…