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On metabelian p-groups

Published online by Cambridge University Press:  09 April 2009

Paul M. Weichsel
Paul M. Weichsel
Affiliation:
Institute of Advanced Studies Australian National University Canberra, A.C.T. University of Illinois Urbana, Illinois
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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.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 7 , Issue 1 , February 1967 , pp. 55 - 63
Copyright
Copyright © Australian Mathematical Society 1967

References

[1]Weichsel, P. M., ‘On critical p-groups’, Proc. London Math. Soc. (3) 14 (1964), 83–100.CrossRefGoogle Scholar
[2]Weichsel, P. M., ‘On critical and basic p-groups’, Proc. Internat. Conf. Theory of Groups, Australian National Univ., Canberra, 08 1965.Google Scholar
[3]Gupta, N. D. and Newman, M. F., ‘On metabelian groups’, J. Australian Math. Soc. 6 (1966), 362–368.CrossRefGoogle Scholar