The cross number of finite Abelian groups. III. (English) Zbl 0848.20048

Summary: We continue our investigations on the cross number \(K(G)\) of a finite abelian group \(G\) [for part II cf. Eur. J. Comb. 15, No. 4, 399-405 (1994; Zbl 0833.20061)]. In Section 1 we refine the crucial inequality \(K^*(G)\leq K(G)\), introduce some variants of \(K(G)\) and study their properties. In Section 2 we derive an upper bound for the cross number.


20K01 Finite abelian groups
20D60 Arithmetic and combinatorial problems involving abstract finite groups


Zbl 0833.20061
Full Text: DOI


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