1 citations · 1 across the 6 of their papers we have counts for
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Polynomiality of the faithful dimension of nilpotent groups over finite truncated valuation rings
Mohammad Bardestani, Keivan Mallahi-Karai, Dzmitry Rumiantsau +1
The faithful dimension of a finite group over , denoted by , is the smallest integer such that can be embedde…
On the chromatic number of structured Cayley graphs
Mohammad Bardestani, Keivan Mallahi-Karai
In this paper, we will study the chromatic number of Cayley graphs of algebraic groups that arise from algebraic constructions. Using Lang-Weil bound and representation theory of f…
Faithful representations of Chevalley groups over quotient rings of non-Archimedean local fields
Mohammad Bardestani, Camelia Karimianpour, Keivan Mallahi-Karai +1
Let be a non-Archimedean local field with the ring of integers and the prime ideal and let be th…
On the Erdos-Ko-Rado property for finite Groups
Mohammad Bardestani, Keivan Mallahi-Karai
Let a finite group act transitively on a finite set . A subset is said to be {\it intersecting} if for any , the element has a fix…
Quasi-Random profinite groups
Mohammad Bardestani, Keivan Mallahi-Karai
We will investigate quasi-randomness for profinite groups. We will obtain bounds for the mininal degree of non-trivial representations of $\mathrm{SL}_k(\mathbb{Z}/(p^n\mathbb{Z}))…