Regular metabelian groups of prime-power order

Publisher： Cambridge University Press

E-ISSN： 1755-1633|3|1|49-54

ISSN： 0004-9727

Source： Bulletin of the Australian Mathematical Society, Vol.3, Iss.1, 1970-08, pp. : 49-54

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Abstract

Let H be a finite metabelian p-group which is nilpotent of class c. In this paper we will prove that for any prime p > 2 there exists a finite metacyclic p-group G which is nilpotent of class c such that H is isomorphic to a section of a finite direct product of G.

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