The Weighted Davenport Constant of a Group and a Related Extremal Problem
نویسندگان
چکیده
منابع مشابه
On the Davenport Constant and Group Algebras
For a finite abelian group G and a splitting field K of G, let d(G, K) denote the largest integer l ∈ N for which there is a sequence S = g1 · . . . · gl over G such that (X g1 − a1) · . . . · (Xl − al) 6= 0 ∈ K[G] for all a1, . . . , al ∈ K . If D(G) denotes the Davenport constant of G, then there is the straightforward inequality D(G)−1 ≤ d(G, K). Equality holds for a variety of groups, and a...
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ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 2019
ISSN: 1077-8926
DOI: 10.37236/7996