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In finite group theory, a mathematical discipline, the Gilman–Griess theorem, proved by (Gilman & Griess 1983), classifies the finite simple groups of characteristic 2 type with e(G) ≥ 4 that have a "standard component", which covers one of the three cases of the trichotomy theorem.

References

Gilman, Robert H.; Griess, Robert L. (1983), "Finite groups with standard components of Lie type over fields of characteristic two", Journal of Algebra 80 (2): 383–516, doi:10.1016/0021-8693(83)90007-8, ISSN 0021-8693, MR 691810

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