AbstractLet n≥23 be an integer and let D2n be the dihedral group of order 2n. It is proved that, if g1,g2,…,g3n is a sequence of 3n elements in D2n, then there exist 2n distinct indices i1,i2,…,i2n such that gi1gi2⋯gi2n=1. This result is a sharpening of the famous Erdős–Ginzburg–Ziv theorem for G=D2n
summary:Let $G(\circ)$ and $G(*)$ be two groups of finite order $n$, and suppose that they share a n...
AbstractA conjecture of Gao and Leader, recently proved by Sun, states that if X=(xi)i=1n is a seque...
AbstractThe following theorem is proved. Let 2 ⩽ k ⩽ [n4] + 1, and let S be a sequence of 2n − k ele...
AbstractLet n≥23 be an integer and let D2n be the dihedral group of order 2n. It is proved that, if ...
AbstractLet G be a finite group of order n, and let S=(a1,…,ak) be a sequence of elements in G. We c...
AbstractLet G be a non-cyclic finite solvable group of order n, and let S=(g1,…,gk) be a sequence of...
AbstractLet G be a group of order m. Define s(G) to be the smallest value of t such that out of any ...
AbstractThis paper continues the discussion of the number s(G) defined, for a finite Abelian group G...
AbstractLet Dn be the dihedral group of order 2n. For all integers r,s such that 1≤r,s≤2n, we give a...
AbstractThe following theorem is proved. If a1, … ak are distinct elements of a group, written addit...
AbstractLet G be a finite (additive written) abelian group of order n. Let w1,…,wn be integers copri...
AbstractLet p be a prime number and ℓ be any positive integer. Let G be the cyclic group of order pℓ...
In additive number theory and group theory the Erdos-Ginzburg-Ziv theorem describes the length of th...
The small Davenport constant ${\mathsf{d}}(G)$ of a finite group $G$ is defined to be the maximal le...
AbstractIf G is a finite Abelian group, for what number s is it true that an arbitrary sequence of l...
summary:Let $G(\circ)$ and $G(*)$ be two groups of finite order $n$, and suppose that they share a n...
AbstractA conjecture of Gao and Leader, recently proved by Sun, states that if X=(xi)i=1n is a seque...
AbstractThe following theorem is proved. Let 2 ⩽ k ⩽ [n4] + 1, and let S be a sequence of 2n − k ele...
AbstractLet n≥23 be an integer and let D2n be the dihedral group of order 2n. It is proved that, if ...
AbstractLet G be a finite group of order n, and let S=(a1,…,ak) be a sequence of elements in G. We c...
AbstractLet G be a non-cyclic finite solvable group of order n, and let S=(g1,…,gk) be a sequence of...
AbstractLet G be a group of order m. Define s(G) to be the smallest value of t such that out of any ...
AbstractThis paper continues the discussion of the number s(G) defined, for a finite Abelian group G...
AbstractLet Dn be the dihedral group of order 2n. For all integers r,s such that 1≤r,s≤2n, we give a...
AbstractThe following theorem is proved. If a1, … ak are distinct elements of a group, written addit...
AbstractLet G be a finite (additive written) abelian group of order n. Let w1,…,wn be integers copri...
AbstractLet p be a prime number and ℓ be any positive integer. Let G be the cyclic group of order pℓ...
In additive number theory and group theory the Erdos-Ginzburg-Ziv theorem describes the length of th...
The small Davenport constant ${\mathsf{d}}(G)$ of a finite group $G$ is defined to be the maximal le...
AbstractIf G is a finite Abelian group, for what number s is it true that an arbitrary sequence of l...
summary:Let $G(\circ)$ and $G(*)$ be two groups of finite order $n$, and suppose that they share a n...
AbstractA conjecture of Gao and Leader, recently proved by Sun, states that if X=(xi)i=1n is a seque...
AbstractThe following theorem is proved. Let 2 ⩽ k ⩽ [n4] + 1, and let S be a sequence of 2n − k ele...
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