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On the Structure of Q2(G) for Finitely Generated Groups

Published online by Cambridge University Press:  20 November 2018

Gerald Losey
Gerald Losey*
Affiliation:
University of Manitoba, Winnipeg, Manitoba
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Let G be a group, ZG its integral group ring and Δ = Δ(G) the augmentation ideal of ZG. Denote by Gi the ith term of the lower central series of G. Following Passi [3], we set . It is well-known that (see, for example [1]). In [3] Passi shows that if G is an abelian group then , the second symmetric power of G.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 25 , Issue 2 , April 1973 , pp. 353 - 359
Copyright
Copyright © Canadian Mathematical Society 1973

References

1. Losey, G., N-series and filtrations of the augementation ideal (to appear).Google Scholar
2. Losey, G., On dimension subgroups, Trans. Amer. Math. Soc. 97 (1960), 474–486.Google Scholar
3. Passi, I. B. S., Polynomial functors, Proc. Cambridge Philos. Soc. 66 (1969), 505–512.Google Scholar
4. Sandling, R., The modular group rings of p-groups, Ph.D. thesis, University of Chicago, 1969.Google Scholar