This is a preview of subscription content, log in via an institution to check access.
References
M. Auslander andO. Goldman, Maximal orders. Trans. Amer. Math. Soc.97, 1–24 (1960).
M. Auslander andD. S. Rim, Ramification index and multiplicity. Illinois J. Math.7, 566–581 (1963).
H.Bass, Introduction to some methods of algebraicK-theory. Reg. Conf. Ser. in Math.20, Amer. Math. Soc. 1974.
C.Curtis and I.Reiner, Representation theory of finite groups and associative algebras. New York 1962.
S. Galovich, I. Reiner andS. Ullom. Class groups for integral representations of metacyclic groups. Mathematika19, 105–111 (1972).
E. Kleinert, Einheiten in ℤ[D 2n]. J. Number Theory13, 541–561 (1981).
A. Matchett, Class groups of cyclic groups of squarefree orders. Trans. Amer. Math. Soc.264, 251–254 (1981).
I.Reiner, Class groups and Picard groups of group rings and orders. Reg. Conf. Ser. in Math. Nr.26, Amer. Math. Soc. 1970.
I.Reiner, Maximal orders. New York 1975.
I. Reiner andS. Ullom, A Mayer-Vietoris sequence for classgroups. J. Algebra31, 305–342 (1974).
T.Yamada, The Schur subgroup of the Brauer group. LNM397, Berlin-Heidelberg-New York 1974.
Author information
Authors and Affiliations
Additional information
The author wishes to express his gratitude to the Alexander-von-Humboldt Stiftung and the University of Alberta who made possible his stay in Edmonton where this paper was written.
Rights and permissions
About this article
Cite this article
Kleinert, E. On the classnumber of some group rings. Arch. Math 49, 200–207 (1987). https://doi.org/10.1007/BF01271659
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01271659