Presentations of finite simple groups: a computational approach

Guralnick, R.M., Kantor, W.M., Kassabov, M. and Lubotzky, A. (2008) Presentations of finite simple groups: a computational approach. Preprint.

Abstract

All nonabelian finite simple groups of rank $n$ over a field of size $q$, with the possible exception of the Ree groups $^2G_2(3^{2e+1})$, have presentations with at most $80 $ relations and bit-length $O(\log n +\log q)$. Moreover, $A_n$ and $S_n$ have presentations with 3 generators$,$ 7 relations and bit-length $O(\log n)$, while $\SL(n,q)$ has a presentation with 7 generators, $2 5$ relations and bit-length $O(\log n +\log q)$

This record has no associated files available for download.

Contributors

Download statistics