On prime-power groups in which the derived group has two generators-Reference-Cited by-同舟云学术

On prime-power groups in which the derived group has two generators

Published:1957-01 Issue:1 Volume:53 Page:19-27
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Blackburn N.

Abstract

Burnside ((1), p. 241) has proved the following theorem:If G is a non-metabelian p-group, then the centre of the derived group of G cannot be cyclic. In particular, a non-Abelian group of order p3 cannot be the derived group of a p-group.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference6 articles.

1. �ber das Produkt von zwei abelschen Gruppen

2. A contribution to the theory of groups of prime-power order;Hall;Proc. Lond. Math. Soc.,1933

3. Überp-Gruppen von maximaler Klasse

4. �ber das Produkt von paarweise vertauschbaren zyklischen Gruppen

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