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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

 

Construction of units in integral group rings of finite nilpotent groups


Authors: Jürgen Ritter and Sudarshan K. Sehgal
Journal: Bull. Amer. Math. Soc. 20 (1989), 165-168
MSC (1985): Primary 20C05, 16A25, 16A18
MathSciNet review: 981873
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References [Enhancements On Off] (What's this?)

  • 1. Hyman Bass, The Dirichlet unit theorem, induced characters, and Whitehead groups of finite groups, Topology 4 (1965), 391–410. MR 0193120 (33 #1341)
  • 2. H. Bass, J. Milnor, and J.-P. Serre, Solution of the congruence subgroup problem for 𝑆𝐿_{𝑛}(𝑛≥3) and 𝑆𝑝_{2𝑛}(𝑛≥2), Inst. Hautes Études Sci. Publ. Math. 33 (1967), 59–137. MR 0244257 (39 #5574)
  • 3. Charles W. Curtis and Irving Reiner, Representation theory of finite groups and associative algebras, Pure and Applied Mathematics, Vol. XI, Interscience Publishers, a division of John Wiley & Sons, New York-London, 1962. MR 0144979 (26 #2519)
  • 4. Jean-Pierre Serre, Le problème des groupes de congruence pour SL2, Ann. of Math. (2) 92 (1970), 489–527 (French). MR 0272790 (42 #7671)
  • 5. L. N. Vaserstein, The structure of classic arithmetic groups of rank greater than one, Math. USSR Sb. 20 (1973), 465-492.
  • 6. L. N. Vaserstein, On the group SL, Math. USSR Sb. 18 (1973), 321-332.

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Additional Information

DOI: http://dx.doi.org/10.1090/S0273-0979-1989-15751-0
PII: S 0273-0979(1989)15751-0