On metabelian p-groups
- 1 February 1967
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of the Australian Mathematical Society
- Vol. 7 (1) , 55-63
- https://doi.org/10.1017/s1446788700005097
Abstract
In this paper we investigate finite metabelian p-groups from the point of view of varieties and identical relations. In other words we shall be interested in those properties of such groups which are preserved under the operations of fonning direct products, taking subgroups and taking factor groups. Ideally one would like to characterize such properties in terms of numerical invariants and with the sole restriction that the p-group in question have class less than p we accomplish this.Keywords
This publication has 2 references indexed in Scilit:
- On metabelian groupsJournal of the Australian Mathematical Society, 1966
- On Critical p -Groups†Proceedings of the London Mathematical Society, 1964