On prime-power groups in which the derived group has two generators
- 1 January 1957
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 53 (1) , 19-27
- https://doi.org/10.1017/s0305004100031959
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.This publication has 5 references indexed in Scilit:
- ber das Produkt von zwei abelschen GruppenMathematische Zeitschrift, 1955
- Über das Produkt von paarweise vertauschbaren zyklischen GruppenMathematische Zeitschrift, 1953
- Überp-Gruppen von maximaler KlasseActa Mathematica, 1952
- A Contribution to the Theory of Groups of Prime-Power OrderProceedings of the London Mathematical Society, 1934
- On Some Properties of Groups Whose Orders are Powers of PrimesProceedings of the London Mathematical Society, 1913