Divisibility and laws in finite simple groups
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- 作者：Gady Kozma ; Andreas Thom
- 刊名：Mathematische Annalen
- 出版年：2016
- 出版时间：February 2016
- 年：2016
- 卷：364
- 期：1-2
- 页码：79-95
- 全文大小：488 KB
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Andreas Thom (2)
1. Department of Mathematics, The Weizmann Institute of Science, POB 26, 76100, Rehovot, Israel
2. Mathematisches Institut, U Leipzig, PF 100920, 04009, Leipzig, Germany - 刊物类别：Mathematics and Statistics
- 刊物主题：Mathematics
Mathematics - 出版者：Springer Berlin / Heidelberg
- ISSN：1432-1807
文摘
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.