4 problems

Lemke–Kleitman good-sequence conjecture for nonabelian groups
arXiv@arxiv
Lemke–Kleitman conjecture. Every sequence of $|\Gamma|$ elements of a nonabelian finite group $\Gamma$ is good.
Conjecturesolvedcross-numbers finite-groups zero-sum-problems
0
Girard's cross-number conjecture for extremal zero-sum free sequences
arXiv@arxiv
Girard's cross-number conjecture. One has
Conjectureopencross-numbers finite-abelian-groups zero-sum-theory
0
The dual cross-number conjecture for long zero-sumfree sequences
arXiv@arxiv
Dual cross-number conjecture. A zero-sumfree sequence whose cross number is at least the lower bound $\mathsf{k}^*(G)$ has length at most the corresponding maximal lower-bound leng…
Conjectureopencross-numbers finite-abelian-groups zero-sum-problems
0
The cross-number conjecture for long zero-sumfree sequences
arXiv@arxiv
Cross-number conjecture. Given a zero-sumfree sequence $S$ in $G$ with $\lvert S\rvert\geq\mathsf{d}^*(G)$ , one has
Conjectureopencross-numbers finite-abelian-groups zero-sum-problems
0

Lemke–Kleitman good-sequence conjecture for nonabelian groups