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On Schur Rings over Cyclic Groups, II

✍ Scribed by Ka Hin Leung; Shing Hing Man

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 193 KB
Volume: 183
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1996.0220

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✦ Synopsis

In this paper, we show that for any Schur ring S over a cyclic group G, if every subgroup is an S-subgroup, then S is either a wedge product of Schur rings over smaller cyclic groups, or every S-principal subset is an orbit of an element under a Ž fixed subgroup of Aut G. With an earlier result proved by us on Schur rings over . cyclic groups, preprint , we are able to determine all possible structures of Schur rings over a cyclic group.

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