15 citations · 15 across the 2 of their papers we have counts for
3 papers
math.GR2012
Diameters of Chevalley groups over local rings
Oren Dinai
Let G be a Chevalley group scheme of rank l. We show that the following holds for some absolute constant d>0 and two functions p_0=p_0(l) and C=C(l,p). Let p>p_0 be a prime number…
math.GR2010★ 15 cited
Expansion properties of finite simple groups
Oren Dinai
We prove that if G is SL_2(F) or PSL_2(F), where F is a finite field, and A is a set of generators of G, then either |AAA| > |A|^(1+epsilon), where epsilon is an absolute positive…
math.GR2006
Uniform poly-log diameter bounds for some families of finite groups
Oren Dinai
Fix a prime and an integer with . Define the family of finite groups \[ G_n :=SL_m (\mathbb{Z}/p^{n}\mathbb{Z}) \] for . We will prove that there e…