Taussky, Olga (1955) Unimodular integral circulants. Mathematische Zeitschrift, 63 (1). pp. 286-289. ISSN 0025-5874. doi:10.1007/bf01187938. https://resolver.caltech.edu/CaltechAUTHORS:20201022-100905336
Full text is not posted in this repository. Consult Related URLs below.
Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20201022-100905336
Abstract
Some properties of the "discriminant matrix" (α_i^(S_k))) of a normal algebraic number field of degree n were investigated in two previous notes (1 ,2). Here the α_i form an integral basis of the field and the S_k are the elements of the GALOIS group). In the special case when the α_i form a normal basis various problems concerning group matrices arise, among others, questions concerning unimodular group matrices whose elements are rational integers. If the field is cyclic circulant, matrices appear, i.e. matrices C = (c_(ik)) with c_(ik) = c_(k-i+1) where the suffixes are considered mod n. In particular the following theorem was obtained which will be studied further in the present note.
| Item Type: | Article | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Related URLs: |
| |||||||||
| Additional Information: | © 1955 Springer. (Eingegangen am 7, März 1955) In memoriam ISSAI SCHUR. This work was supported (in part) by the Office of Naval Research. | |||||||||
| Funders: |
| |||||||||
| Issue or Number: | 1 | |||||||||
| DOI: | 10.1007/bf01187938 | |||||||||
| Record Number: | CaltechAUTHORS:20201022-100905336 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20201022-100905336 | |||||||||
| Official Citation: | Taussky, O. Unimodular integral circulants. Math Z 63, 286–289 (1955). https://doi.org/10.1007/BF01187938 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 106215 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | George Porter | |||||||||
| Deposited On: | 22 Oct 2020 22:54 | |||||||||
| Last Modified: | 16 Nov 2021 18:51 |
Repository Staff Only: item control page
