N-Series and Filtrations of the Augmentation Ideal
Canadian journal of mathematics, Tome 26 (1974) no. 4, pp. 962-977

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Let G be a group. Denote by ZG the group ring of G over the integers and by Δ = Δ(G) the augmentation ideal of ZG, that is, the kernel of the augmentation map ε : ZG → Z defined by . Then Δ is a free abelian group with a free basis . A filtration of Δ is a sequence
Losey, Gerald. N-Series and Filtrations of the Augmentation Ideal. Canadian journal of mathematics, Tome 26 (1974) no. 4, pp. 962-977. doi: 10.4153/CJM-1974-090-9
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[1] 1. Gruenberg, K. W., Cohomological topics in group theory, Lecture Notes in Mathematics 145 (Springer-Verlag, Berlin, 1970). Google Scholar

[2] 2. Gruenberg, K. W., Residual properties of infinite solvable groups, Proc. London Math. Soc. 7 (1957), 29–62. Google Scholar

[3] 3. Hoare, A. H. M., Group rings and lower central series, J. London Math. Soc. 1 (1969), 37–40. Google Scholar

[4] 4. Lazard, M., Sur les groupes nilpotentes et les anneaux de Lie, Ann. École Norm. Sup. 71 (1954), 101–190. Google Scholar

[5] 5. Losey, G., On dimension subgroups, Trans. Amer. Math. Soc. 97 (1960), 474–486. Google Scholar

[6] 6. Losey, G., On the structure of Q(G) for finitely generated groups, Can. J. Math. (1973), 353-359. Google Scholar

[7] 7. Moran, S., Dimension subgroups modulo n, Proc. Cambridge Philos. Soc. 68 (1970), 579–582. Google Scholar

[8] 8. Passi, I. B. S., Dimension subgroups, J. Algebra 9 (1968), 152–182. Google Scholar

[9] 9. Rips, E., On the fourth integer dimension subgroup, Israel J. Math. 12 (1972), 342–346. Google Scholar

[10] 10. Sandling, R., Dimension subgroups over arbitrary coefficient rings, J. Algebra 21 (1972), 250–265. Google Scholar

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