Divisibility and laws in finite simple groups

作者:Kozma Gady; Thom Andreas*
来源:Mathematische Annalen, 2016, 364(1-2): 79-95.
DOI:10.1007/s00208-015-1201-4

摘要

We provide newbounds for the divisibility function of the free group F-2 and construct short laws for the symmetric groups 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.

  • 出版日期2016-2