7 problems

Let $G$ be an abelian group, and let $A$ be a finite subset of $G\setminus\{0\}$. An ordering $a_1,\ldots,a_{|A|}$ of $A$ is sequenceable if its partial sums … are pairwise distinc…

Let $G$ be an abelian group and let $S\subseteq G$ be a subset not containing the identity element $0$. The set $S$ is sequenceable if its elements can be ordered as…

Let $(G,\cdot)$ be a group. A subset $S$ of the non-identity elements of $G$ is sequenceable if its elements can be ordered so that the associated partial sums are either all disti…

Let $G$ be an abelian group, and let $A$ be a finite subset of $G\setminus\{0\}$. An ordering $a_1,\ldots,a_{|A|}$ of $A$ is sequenceable if its partial sums … are pairwise distinc…

Weak CMPP conjecture. If

Weak sequenceability conjecture. The set $A$ is $t$-weak sequenceable. Equivalently, every abelian group is $t$-weak sequenceable.

Let $G$ be an abelian group with identity element $e$, and let $S\subseteq G\setminus\{e\}$ be a subset whose elements have product different from the identity. An ordering of the…