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New upper bounds for the Davenport and for the Erdős–Ginzburg–Ziv constants

✍ Scribed by M. N. Chintamani; B. K. Moriya; W. D. Gao; P. Paul; R. Thangadurai

Publisher
Springer
Year
2012
Tongue
English
Weight
214 KB
Volume
98
Category
Article
ISSN
0003-889X

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Improving the Erdős–Ginzburg–Ziv theorem
Improving the Erdős–Ginzburg–Ziv theorem for some non-abelian groups
✍ Jared Bass 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 229 KB

Let G be a group of order m. Define s(G) to be the smallest value of t such that out of any t elements in G, there are m with product 1. The Erdős-Ginzburg-Ziv theorem gives the upper bound s(G) 2m -1, and a lower bound is given by s(G) D(G) + m -1, where D(G) is Davenport's constant. A conjecture b