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

Geroldinger, Alfred; Schneider, Rudolf

Discrete Math. 150, No. 1-3, 123-130 (1996).

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.

MSC:

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

Keywords:

cross number; finite Abelian groups

Citations:

Zbl 0833.20061

References:

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