4 papers
math.CO2026
The ErdÅs-Ginzburg-Ziv theorem constant of finite groups
Yang Zhao, Guoqing Wang
Let be a multiplicatively written finite group of order . The ErdÅs-Ginzburg-Ziv Theorem constant of the group , denoted , is defined as the smallest posit…
math.CO2025
Semigroup rings and algebraically independent sequences with respect to idempotents in commutative semigroups
Guoqing Wang
For any finite abelian group and commutative unitary ring , by we denote the group algebra over . Let be a sequence over the group . W…
math.CO2025
Enumeration of idempotent-sum subsequences in finite cyclic semigroups and smooth sequences
Guoqing Wang, Yang Zhao, Xingliang Yi
The enumeration of zero-sum subsequences of a given sequence over finite cyclic groups is one classical topic, which starts from one question of P. ErdÅs. In this paper, we consid…
math.CO2025
On Bass' conjecture of the small Davenport constant
Guoqing Wang, Yang Zhao
Let be a finite group. The small Davenport constant of is the maximal integer such that there is a sequence of length over which has no non…