Open Access
24- https://doi.org/10.1007/s00208-015-1201-4
Divisibility and laws in finite simple groups
- Apr 3, 2015
- Mathematische Annalen
- Gady Kozma +1 more
Abstract
We provide new bounds for the divisibility function of the free group $${\mathbf F}_2$$ and construct short laws for the symmetric groups $${{\mathrm{Sym}}}(n)$$ . The construction is random and relies on the classification of the finite simple groups. We also give bounds on the length of laws for finite simple groups of Lie type.
- # Finite Simple Groups
- # Simple Groups Of Lie Type
- # Finite Groups
- # Divisibility In Groups
- # Classification Of Groups
- # Groups Of Lie Type
- # Lie Type
- # Symmetric Groups
- # Simple Groups
- # Free Group
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