Hostname: page-component-586b7cd67f-dsjbd Total loading time: 0 Render date: 2024-11-25T00:52:15.371Z Has data issue: false hasContentIssue false

Annihilators of relation modules

Published online by Cambridge University Press:  09 April 2009

J. N. Mital
Affiliation:
Kurukshetra UniversityKurukshetra (Haryana), India
I. B. S. Passi
Affiliation:
University of AlbertaEdmonton (Alberta), 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.

Let be a non-cyclic free presentation of a group G, the lower central series of R. Then Rn/Rn+1, n ≧ 1, can be regarded as a right G-module by defining the action of G via conjugation in F. We wish to investigate the annihilators of these modules which we call higher relation modules.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1973

References

[1]Fox, R. H., ‘Free differential calculus I Derivations in the free group ring’, Ann. of Math. (2) 57 (1953), 547560.CrossRefGoogle Scholar
[2]Gruenberg, K. W., Cohomological topics in group theory, Lecture Notes in Mathematics, No. 143, (Springer-Verlag, 1970.)CrossRefGoogle Scholar
[3]Magnus, W., Karrass, A., and Solitar, D., Combinatorial group theory, (Interscience Publishers, 1966.)Google Scholar
[4]Mital, J. N., ‘On residual nilpotence’, J. London Math. Soc. (2) 2 (1970), 337345.CrossRefGoogle Scholar
[5]Passi, I. B. S., and Singal, R. C., Relation modules (unpublished).Google Scholar