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On the algebraic structure of Gaussian periods
| Content Provider | Semantic Scholar |
|---|---|
| Author | Wildberger, N. J. |
| Copyright Year | 2004 |
| Abstract | Let p be a prime Zp the eld of residue classes mod p and Up the cyclic group of automorphisms of the additive group Zp We will identify Up with the non zero elements of Zp For any positive integer n dividing p there is exactly one subgroup C of Up of index n given by C fx j x Zp x g if jCj k then p kn The orbits of C on Zp are f g C together with the cosets of C in Up If y is a primitive root in Up then we may order the cosets C C C Cn so that yCi Ci for i n and yCn C In terms of y Ci fy n i j k g i n |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://web.maths.unsw.edu.au/~norman/papers/GaussianPeriods.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | ARID1A wt Allele Arabic numeral 0 Carrier-to-noise ratio Class Integer (number) Linear algebra Normal Statistical Distribution Ocular orbit PC-FX Positive integer Subgroup A Nepoviruses Utility functions on indivisible goods Yoctocurie zinc protoporphyrin |
| Content Type | Text |
| Resource Type | Article |