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math.GR2026
Uniform two-generator presentations for with polynomial complexity bounds
Arindam Biswas
We give a uniform explicit construction of finite two-generator presentations for the special linear groups over the integers in all ranks at least three. The construction builds o…
math.GR2018
On a cheeger type inequality in Cayley graphs of finite groups
Arindam Biswas
Let be a finite group. It was remarked by Breuillard-Green-Guralnick-Tao that if the Cayley graph is an expander graph and is non-bipartite then the spectrum of the ad…