Let Cn be the cyclic group of order n. In this paper, we provide the exact values of some zero-sum constants over Cn⋊sC2 where s 6≡ ±1 (mod n), namely η-constant, Gao constant, and ErdősGinzburg-Ziv… Expand

Let G be a multiplicatively written finite group. We denote by E(G) the smallest integer t such that every sequence of t elements in G contains a product-one subsequence of length |G|. In 1961,… Expand

Let G be a finite group, written multiplicatively. Define $${\mathsf{E}(G)}$$E(G) to be the minimal integer t such that every sequence of t elements (repetition allowed) in G contains a subsequence… Expand

Let G be an abelian group of order m ≥ 2, let p be the smallest prime divisor of m, and let q be the smallest prime divisor of mp (if m is composite). For a sequence S, let Σn(S) be the set of all… Expand

Recently the following theorem in combinatorial group theory has been proved: LetGbe a finite abelian group and letAbe a sequence of members ofGsuch that |A|?|G|+D(G)?1, whereD(G) is the Davenport… Expand

Let G be an additive finite abelian group with exponent exp(G) = n. We define some central invariants in zero-sum theory: Let • D(G) denote the smallest integer l ∈ N such that every sequence S over… Expand