Some problems on splittings of groups. II

Szabó, Sándor

doi:10.1090/S0002-9939-1987-0911013-9

Some problems on splittings of groups. II
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Proc. Amer. Math. Soc. 101 (1987), 585-591 Request permission

Abstract:

If $G$ is an additive abelian group, $S$ is a subset of $G,M$ is a set of nonzero integers, and if each element of $G\backslash \left \{ 0 \right \}$ is uniquely expressible in the form $ms$, where $m \in M$ and $s \in S$, then we say that $M$ splits $G$. A splitting is nonsingular if every element of $M$ is relatively prime to the order of $G$; otherwise it is singular. In this paper we discuss the singular splittings of cyclic groups of prime power orders and the direct sum of isomorphic copies of groups.

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Packing of

by certain error spheres

IT-30

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