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Annihilators of relation modules

Published online by Cambridge University Press:  09 April 2009

J. N. Mital  and
I. B. S. Passi
J. N. Mital
Affiliation:
Kurukshetra UniversityKurukshetra (Haryana), India
I. B. S. Passi
Affiliation:
University of AlbertaEdmonton (Alberta), Canada.
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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
Information
Journal of the Australian Mathematical Society , Volume 16 , Issue 2 , September 1973 , pp. 228 - 233
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), 547–560.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), 337–345.CrossRefGoogle Scholar
[5]Passi, I. B. S., and Singal, R. C., Relation modules (unpublished).Google Scholar