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Bicyclic and Bass Cyclic Units in Group Rings

Published online by Cambridge University Press:  20 November 2018

E. Jespers ,
G. Leal  and
M. M. Parmenter
E. Jespers
Affiliation:
Department of Mathematics and Statistics Memorial University of Newfoundland St. John's, Newfoundland A1C 5S7
G. Leal
Affiliation:
Department of Mathematics Universidade Federal do Rio de Janeiro Rio de Janeiro, RJ Brazil
M. M. Parmenter
Affiliation:
Department of Mathematics and Statistics Memorial University of Newfoundland St. John's, Newfoundland A1C 5S7
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Abstract

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The subgroup generated by the Bass cyclic and bicyclic units is of infinite index in the group of units of the integral group ring ZG when G is either D or

Keywords

16S3416U60
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 36 , Issue 2 , 01 June 1993 , pp. 178 - 182
Copyright
Copyright © Canadian Mathematical Society 1993

References

1. Fine, B. andNewman, M., The normal subgroup structure of the Picard group, Trans. A.M.S. (2) 302(1987), 769–786.Google Scholar
2. Jespers, E. and Leal, G., Describing units of integral group rings of some 2-groups, Commun, in Alg. (6) 19(1991), 1809–1827.Google Scholar
3. Ritter, J. and Sehgal, S. K., Construction of units in integral group rings of finite groups, Trans. A.M.S. (2) 324(1991), 603–621.Google Scholar
4. Sehgal, S. K., Topics in Group Rings, Marcel Dekker, New York, 1978.Google Scholar
5. Waldinger, H. V., On the subgroups of the Picard group, Proc. A.M.S. 16(1965), 1375–1378.Google Scholar