Presentations of finite simple groups: a quantitative approach

By Robert M. Guralnick, Willim Kantor, Martin Kassabov, Alexander Lubotzky. 2006

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There is a constant such that all nonabelian finite simple groups of rank over , with the possible exception of the Ree groups , have presentations with at most generators and relations and total length at most . As a corollary, we deduce a conjecture of Holt: there is a constant such that for every finite simple group , every prime and every irreducible -module

Subfields: Artificial Intelligence, Discrete Mathematics and Combinatorics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/709b3499ca5ddfb671450abf87bee6b253faefd2