Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-23T15:46:50.808Z Has data issue: false hasContentIssue false
  • English
  • Français

Projective groups in varieties

Published online by Cambridge University Press:  17 April 2009

R.A. Bryce
R.A. Bryce
Affiliation:
Department of Pure Mathematics, School of General Studies, Australian National University, Canberra, ACT.
Rights & Permissions [Opens in a new window]

Abstract

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.

A number of questions of Philip Hall concerning complemented normal subgroups of finite relatively free groups are considered.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 6 , Issue 2 , April 1972 , pp. 169 - 175
Copyright
Copyright © Australian Mathematical Society 1972

References

[1]Bryant, Roger M., “Finite splitting groups in varieties of groups”, Quart. J. Math. Oxford (2) 22 (1971), 109–172.CrossRefGoogle Scholar
[2]Carter, Roger and Hawkes, Trevor, “The -normalizers of a finite soluble group”, J. Algebra 5 (1967), 175–202.CrossRefGoogle Scholar
[3]Hall, P., “The splitting properties of relatively free groups”, Proc. London Math. Soc. (3) 4 (1954), 343–356.CrossRefGoogle Scholar
[4]Neumann, Hanna, Varieties of groups (Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 37. Springer-Verlag, Berlin, Heidelberg, New York, 1967).CrossRefGoogle Scholar
[5]Shult, Ernest E., “A note on splitting in solvable groups”, Proc. Amer. Math. Soc. 17 (1966), 318–320.CrossRefGoogle Scholar