17 citations · 20 across the 10 of their papers we have counts for
6 papers · 1 filter
On zero-sum problems over metacyclic groups
Jun Seok Oh, Sávio Ribas, Kevin Zhao +1
Let be a finite group. A finite collection of elements from , where the order is disregarded and repetitions are allowed, is said to be a product-one sequence if its element…
On zero-sum subsequences in a finite abelian group of length not exceeding a given number
Kevin Zhao
Let be an additive finite abelian group and let be a positive integer. Denote by the smallest positive integer $l\in \…
-product problems with congruence conditions in nonabelian groups
Kevin Zhao
Let be a finite group and be the dihedral group of elements. For a positive integer , let denote the smallest integer $\ell\in \m…
The coset factorization of finite cyclic group
Kevin Zhao
Let be a finite cyclic group, written additively, and let be nonempty subsets of . We will say that is a \textit{factorization} if for each in there…
The complete splittings of finite abelian groups
Kevin Zhao
Let be a finite group. We will say that and form a \textsl{complete splitting} (\textsl{splitting}) of if every element (nonzero element) of has a unique re…
The Harborth Constant of Dihedral Groups
Niranjan Balachandran, Eshita Mazumdar, Kevin Zhao
The Harborth constant of a finite group , denoted $\gs(G)$, is the smallest integer such that the following holds: For with , there exists $B\subseteq…