Kummer’s lemma and picard groups of integer group rings
Source
The Arabian Journal for Science and Engineering. Section C, Theme issues
Issue
Vol. 26, Issue 1C (31 Dec. 2001), pp.107-118, 12 p.
Publisher
King Fahd University of Petroleum and Minerals
Publication Date
2001-12-31
Country of Publication
Saudi Arabia
No. of Pages
12
Main Subjects
Engineering & Technology Sciences (Multidisciplinary)
Abstract EN
In this paper we re-prove a result by Kervaire and Murthy concerning Picard groups of integer group rings ZC, where C is a cyclic group of prime power order.
Our method is more elementary than the one used by Kervaire and Murthy and relies on the construction of certain multiplicative maps by Stolin and on a generalization of Kummer’s Lemma on units in cyclotomic fields presented here.
American Psychological Association (APA)
Helenius, Ula. 2001. Kummer’s lemma and picard groups of integer group rings. The Arabian Journal for Science and Engineering. Section C, Theme issues،Vol. 26, no. 1C, pp.107-118.
https://search.emarefa.net/detail/BIM-389478
Modern Language Association (MLA)
Helenius, Ula. Kummer’s lemma and picard groups of integer group rings. The Arabian Journal for Science and Engineering. Section C, Theme issues Vol. 26, no. 1C (Dec. 2001), pp.107-118.
https://search.emarefa.net/detail/BIM-389478
American Medical Association (AMA)
Helenius, Ula. Kummer’s lemma and picard groups of integer group rings. The Arabian Journal for Science and Engineering. Section C, Theme issues. 2001. Vol. 26, no. 1C, pp.107-118.
https://search.emarefa.net/detail/BIM-389478
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 118
Record ID
BIM-389478
