NON-PÓLYA FIELDS WITH LARGE PÓLYA GROUPS ARISING FROM LEHMER QUINTICS.
| Autor: | MAHAPATRA, NIMISH KUMAR, PANDEY, PREM PRAKASH |
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| Zdroj: | Bulletin of the Australian Mathematical Society; Dec2024, Vol. 110 Issue 3, p468-479, 12p |
| Abstrakt: | We construct a new family of quintic non-Pólya fields with large Pólya groups. We show that the Pólya number of such a field never exceeds five times the size of its Pólya group. Finally, we show that these non-Pólya fields are nonmonogenic of field index one. [ABSTRACT FROM AUTHOR] |
| Databáze: | Complementary Index |
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