Hostname: page-component-6bb9c88b65-bcq64 Total loading time: 0 Render date: 2025-07-27T00:47:11.231Z Has data issue: false hasContentIssue false
  • English
  • Français

Some groups all of whose proper verbal quotients are relatively free

Published online by Cambridge University Press:  17 April 2009

Graham Higman
Graham Higman
Affiliation:
Mathematical Institute, 24–29 St Giles, Oxford OX1 3LB England
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 class of blocking pairs (A, B) for which B/AB is infinite cyclic is constructed and these are used to construct groups all of whose proper verbal quotients are relatively free.

Information

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 40 , Issue 2 , October 1989 , pp. 231 - 234
Copyright
Copyright © Australian Mathematical Society 1989

References

[1]Baumslag, Gilbert, ‘More groups that are just about free’, Bull. Amer. Math. Soc. 74 (1968).CrossRefGoogle Scholar
[2]Baumslag, Gilbert and Stammbach, Urs, ‘A non-free parafree group all of whose countable subgroups are free’, Math. Z. 148 (1976).CrossRefGoogle Scholar
[3]Dunwoody, M.J., ‘Review of [1], MR 37 # 1449’.Google Scholar
[4]Iligman, Graham, ‘Some countably free groups’, in Group Theory, Proceedings of the Singapore International Conference, Editors Cheng, K.N. and Leong, Y.K. (De Gruyter, 1989).Google Scholar