Solution to the presentation problem for powers of the augmentation ideal of torsion free and torsion abelian groups

Bak A, Tang G (2004)
Advances in Mathematics 189(1): 1-37.

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Zeitschriftenaufsatz | Veröffentlicht | Englisch
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Abstract / Bemerkung
This paper solves for torsion free and torsion abelian groups G the problem of presenting nth powers Delta(n)(G) of the augmentation ideal Delta(G) of an integral group ring ZG, in terms of the standard additive generators of Delta(n)(G). A concrete basis for Delta(n)(G) is obtained when G itself has a basis and is torsion. The results are applied to describe the homology of the sequence Delta(n)(N)G-->Delta(n)(G)-->Delta(n)(G/N). (C) 2003 Elsevier Inc. All rights reserved.
Erscheinungsjahr
Zeitschriftentitel
Advances in Mathematics
Band
189
Ausgabe
1
Seite(n)
1-37
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Bak A, Tang G. Solution to the presentation problem for powers of the augmentation ideal of torsion free and torsion abelian groups. Advances in Mathematics. 2004;189(1):1-37.
Bak, A., & Tang, G. (2004). Solution to the presentation problem for powers of the augmentation ideal of torsion free and torsion abelian groups. Advances in Mathematics, 189(1), 1-37. doi:10.1016/j.aim.2003.11.002
Bak, A., and Tang, G. (2004). Solution to the presentation problem for powers of the augmentation ideal of torsion free and torsion abelian groups. Advances in Mathematics 189, 1-37.
Bak, A., & Tang, G., 2004. Solution to the presentation problem for powers of the augmentation ideal of torsion free and torsion abelian groups. Advances in Mathematics, 189(1), p 1-37.
A. Bak and G. Tang, “Solution to the presentation problem for powers of the augmentation ideal of torsion free and torsion abelian groups”, Advances in Mathematics, vol. 189, 2004, pp. 1-37.
Bak, A., Tang, G.: Solution to the presentation problem for powers of the augmentation ideal of torsion free and torsion abelian groups. Advances in Mathematics. 189, 1-37 (2004).
Bak, Anthony, and Tang, Guoping. “Solution to the presentation problem for powers of the augmentation ideal of torsion free and torsion abelian groups”. Advances in Mathematics 189.1 (2004): 1-37.