Some problems on splittings of groups. II

Author:
Sándor Szabó

Journal:
Proc. Amer. Math. Soc. **101** (1987), 585-591

MSC:
Primary 20K01; Secondary 05B40, 05B45

DOI:
https://doi.org/10.1090/S0002-9939-1987-0911013-9

MathSciNet review:
911013

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Abstract | References | Similar Articles | Additional Information

Abstract: If is an additive abelian group, is a subset of is a set of nonzero integers, and if each element of is uniquely expressible in the form , where and , then we say that splits . A splitting is nonsingular if every element of is relatively prime to the order of ; 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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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1987-0911013-9

Keywords:
Splittings of finite abelian groups,
factorizations of finite abelian groups,
partitions of finite abelian groups,
crosses,
semicrosses,
lattice tilings

Article copyright:
© Copyright 1987
American Mathematical Society