The consecutive Davenport constant conjecture for finite groups
The consecutive Davenport constant conjecture for finite groups
Let be a finite group, and let denote its consecutive Davenport constant, namely the least length such that every sequence of elements of contains a nonempty consecutive product-one subsequence.
Consecutive Davenport constant conjecture. For every finite group , it holds
The equality is established in the source for finite abelian groups and metacyclic groups, as well as for direct products of a finite abelian group with a metacyclic group. The general case remains open.
Sources & referencesView supporting material
Primary source
A. Lemos, A. O. Moura, S. Ribas and A. T. Silva, “A note on weighted consecutive Davenport constant”, arXiv:2404.11312 (2024).
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Solutions 0
Sign in to submit a solution.
No solutions have been posted yet.