References
A. A.Bovdi, The unit group of integral group rings (Russian). Uzhgorod Univ. 1987.
A. A. Bovdi, Z. S. Marciniak andS. K. Sehgal, Torsion units in infinite group rings. J. Number Theory47, 284–299 (1994).
K. S.Brown, Cohomology of groups, GTM87. Berlin-Heidelberg-New York 1987.
Z.Marciniak and S. K.Sehgal, Finite matrix groups over nilpotent group rings. To appear.
Z. Marciniak, J. Ritter, S. K. Sehgal andA. Weiss, Torsion units in integral group rings of some metabelian groups, II. J. Number Theory25, 340–352 (1987).
I. B. S.Passi, Group rings and their augmentation ideals. LNM715. Berlin-Heidelberg-New York 1983.
D.Segal, Polycyclic groups. Cambridge 1983.
S. K.Sehgal, Topics in group rings. New York-Basel 1978.
S. K.Sehgal, Units in integral group rings. Essex 1993.
A. Weiss, Torsion units in integral group rings. J. Reine Angew. Math.415, 175–187 (1991).
Author information
Authors and Affiliations
Additional information
Supported by Canadian NSERC Grant A-5300 and Polish Scientific Grant 211399101.
Rights and permissions
About this article
Cite this article
Marciniak, Z.S., Sehgal, S.K. Hirsch induction and torsion units in group rings. Arch. Math 64, 374–384 (1995). https://doi.org/10.1007/BF01197214
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01197214