Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-25T15:29:16.135Z Has data issue: false hasContentIssue false
  • English
  • Français

On non-cross varieties of groups

Published online by Cambridge University Press:  09 April 2009

L. G. Kovács  and
M. F. Newman
L. G. Kovács
Affiliation:
Australian National UniversityCanberra, ACT, 2600
M. F. Newman
Affiliation:
Australian National UniversityCanberra, ACT, 2600
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Our title has become something of a misnomer, however we retain it since drafts of this note have been quoted with it.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 12 , Issue 2 , May 1971 , pp. 129 - 144
Copyright
Copyright © Australian Mathematical Society 1971

References

[1]Birkhoff, G., Lattice Theory, Third (New) Edition (Amer. Math. Soc., Providence, 1967).Google Scholar
[2]Brooks, M. S., ‘On lattices of varieties of metabelian groups’, J. Austral. Math. Soc. to appear.Google Scholar
[3]Bryce, R. A., ‘Metabelian groups and varieties’, Bull. Austral. Math. Soc. 1 (1969), 15–25.CrossRefGoogle Scholar
[4]Gupta, N. D. and Newman, M. F., ‘On metabelian groups’, J. Austral. Math. Soc. 6 (1966), 362–368.Google Scholar
[5]Gupta, N. D. and Newman, M. F., ‘On metabelian groups’, Proc. Internat. Conf. Theory of Groups, Austral. Nat. Univ. Canberra, August 1965, pp. 111–113 (Gordon and Breach, New York, 1967).Google Scholar
[6]Hall, M. Jr, The Theory of Groups (Macmillan, New York, 1959).Google Scholar
[7]Hall, P., ‘Some sufficient conditions for a group to be nilpotent’, Illinois J. Math. 2 (1958), 787–801.CrossRefGoogle Scholar
[8]Kovács, L. G. and Newman, M. F., ‘Cross varieties of groups’, Proc. Roy. Soc. London Ser. A. 292 (1966), 530–536.Google Scholar
[9]Kovács, L. G. and Newman, M. F., ‘Just-non-Cross varieties’, Proc. Internat. Conf. Theory of Groups, Austral. Nat. Univ. Canberra, Ausgust 1965, pp. 221–223 (Gordon and Breach, New York, 1967).Google Scholar
[10]Kovács, L. G. and Newman, M. F., ‘On varieties of metabelian groups’ (in preparation).Google Scholar
[11]Meier-Wunderli, H., ‘Metabelsche Gruppen’, Comment. Math. Helv. 24 (1951), 1–10.CrossRefGoogle Scholar
[12]Neumann, Hanna, Varieties of Groups (Springer, Berlin, 1967).CrossRefGoogle Scholar
[13]Novikov, P. S. and Adyan, S. I., ‘On infinite periodic groups I’, Izv. Akad. Nauk S.S.S.R. Ser. Mat. 32 (1968), 212–244.Google Scholar