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
AbstractSuppose that D=〈α,β〉 is a dihedral group generated by two involutions α and β. Let D act on ...
AbstractLet a1,a2,…,an and b1,b2,…,bn be integers with 0⩽ai⩽bi for i=1,2,…,n. The purpose of this no...
AbstractLet p1,p2,…,pn be distinct primes. In 1970, Erdős, Herzog and Schönheim proved that if D, |D...
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 group of order m. Define s(G) to be the smallest value of t such that out of any ...
AbstractLet G be a non-cyclic finite solvable group of order n, and let S=(g1,…,gk) be a sequence of...
Let G be a finite non-abelian group and B1, …, Bt be nonempty subsets of G for integer t ≥ 2. Suppos...
In additive number theory and group theory the Erdos-Ginzburg-Ziv theorem describes the length of th...
AbstractThe following theorem is proved. If a1, … ak are distinct elements of a group, written addit...
The purpose of this study is to investigate certain basic group properties as they apply specificall...
AbstractLet Dn be the dihedral group of order 2n. For all integers r,s such that 1≤r,s≤2n, we give a...
Abstract. Let D = (Dn)n≥1 be an elliptic divisibility sequence. We study the set S(D) of indices n s...
Let n ≥ 2 be a fixed integer. Define (x)n to be the unique integer in the range 0 ≤ (x)n \u3c n whic...
Let Dn be the dihedral group of order 2n. For all integers r, s such that 1 ≤ r, s ≤ 2n, we give an ...
AbstractSuppose that D=〈α,β〉 is a dihedral group generated by two involutions α and β. Let D act on ...
AbstractLet a1,a2,…,an and b1,b2,…,bn be integers with 0⩽ai⩽bi for i=1,2,…,n. The purpose of this no...
AbstractLet p1,p2,…,pn be distinct primes. In 1970, Erdős, Herzog and Schönheim proved that if D, |D...
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 group of order m. Define s(G) to be the smallest value of t such that out of any ...
AbstractLet G be a non-cyclic finite solvable group of order n, and let S=(g1,…,gk) be a sequence of...
Let G be a finite non-abelian group and B1, …, Bt be nonempty subsets of G for integer t ≥ 2. Suppos...
In additive number theory and group theory the Erdos-Ginzburg-Ziv theorem describes the length of th...
AbstractThe following theorem is proved. If a1, … ak are distinct elements of a group, written addit...
The purpose of this study is to investigate certain basic group properties as they apply specificall...
AbstractLet Dn be the dihedral group of order 2n. For all integers r,s such that 1≤r,s≤2n, we give a...
Abstract. Let D = (Dn)n≥1 be an elliptic divisibility sequence. We study the set S(D) of indices n s...
Let n ≥ 2 be a fixed integer. Define (x)n to be the unique integer in the range 0 ≤ (x)n \u3c n whic...
Let Dn be the dihedral group of order 2n. For all integers r, s such that 1 ≤ r, s ≤ 2n, we give an ...
AbstractSuppose that D=〈α,β〉 is a dihedral group generated by two involutions α and β. Let D act on ...
AbstractLet a1,a2,…,an and b1,b2,…,bn be integers with 0⩽ai⩽bi for i=1,2,…,n. The purpose of this no...
AbstractLet p1,p2,…,pn be distinct primes. In 1970, Erdős, Herzog and Schönheim proved that if D, |D...
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