Zero-sum problems in finite groups
نویسندگان
چکیده
We develop new methods for investigating problems of zero-sum type in general finite groups. We establish a new bound on Davenport’s constant for abelian groups that assymptotically improves the previously known bounds. We use tools from Representation Theory to study properties of zero-sum sequences through nilpotent ideals of group algebras. A new relationship between zero-sum problems and multidimensional covers of Z is also established.
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