Hostname: page-component-7bb8b95d7b-nptnm Total loading time: 0 Render date: 2024-09-05T23:34:08.596Z Has data issue: false hasContentIssue false
  • English
  • Français

A faithful matrix representation for certain centre-y-metabelian groups

To Bernhard Hermann Neumann on his 60th birthday

Published online by Cambridge University Press:  09 April 2009

C. K. Gupta
C. K. Gupta
Affiliation:
Department of Mathematics University of Manitoba Winnipeg, Canada
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.

It is a well-known result of W. Magnus [3] that there is a faithful matrix representation for metabelian groups i.e the groups satisfying the law ‘x, y; u, v’. The work in this paper arose in an attempt by the author to find a faithful matrix representation for centre-by-metabelian groups i.e. the groups satisfying the law ‘ x, y; u, v].

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 10 , Issue 3-4 , November 1969 , pp. 451 - 464
Copyright
Copyright © Australian Mathematical Society 1969

References

[1]Fox, R. H., ‘Free differential calculus 1: Derivation in the free group ring’, Ann. Math. (2) 57 (1953), 547–560.Google Scholar
[2]Gupta, C. K., ‘Centre-by-metabelian groups’ (Thesis), Austral. Nat. Univ., 1967 Canberra.Google Scholar
[3]Wilhelm, Magnus, ‘On a theorem of Marshall Hall’, Ann. Math. 40 (1939), 764–768.Google Scholar