On the Structure of Q2(G) for Finitely Generated Groups
Canadian journal of mathematics, Tome 25 (1973) no. 2, pp. 353-359
Voir la notice de l'article provenant de la source Cambridge University Press
Let G be a group, ZG its integral group ring and Δ = Δ(G) the augmentation ideal of ZG. Denote by G i 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.
Losey, Gerald. On the Structure of Q2(G) for Finitely Generated Groups. Canadian journal of mathematics, Tome 25 (1973) no. 2, pp. 353-359. doi: 10.4153/CJM-1973-034-4
@article{10_4153_CJM_1973_034_4,
author = {Losey, Gerald},
title = {On the {Structure} of {Q2(G)} for {Finitely} {Generated} {Groups}},
journal = {Canadian journal of mathematics},
pages = {353--359},
year = {1973},
volume = {25},
number = {2},
doi = {10.4153/CJM-1973-034-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1973-034-4/}
}
[1] 1. Losey, G., N-series and filtrations of the augementation ideal (to appear). Google Scholar
[2] 2. Losey, G., On dimension subgroups, Trans. Amer. Math. Soc. 97 (1960), 474–486. Google Scholar
[3] 3. Passi, I. B. S., Polynomial functors, Proc. Cambridge Philos. Soc. 66 (1969), 505–512. Google Scholar
[4] 4. Sandling, R., The modular group rings of p-groups, Ph.D. thesis, University of Chicago, 1969. Google Scholar
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