Timeline for Cyclotomic Fields over Q and prime ideals
Current License: CC BY-SA 2.5
3 events
| when toggle format | what | by | license | comment | |
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| Jun 14, 2010 at 14:08 | comment | added | Charles Matthews | The behaviour of a prime q depends only on the order of the cyclic subgroup it generates in that (multiplicative) group. The generators of the whole group mark out certain residue classes, and so the q are those that lie in certain arithmetic progressions. | |
| Jun 14, 2010 at 13:06 | comment | added | 7-adic | Could you elaborate on the congruence condition? The Galois group for $k_{p^r}$/**Q** is a cyclic group. Do you mean the condition that q does not divide p-1? | |
| Jun 14, 2010 at 12:54 | history | answered | Charles Matthews | CC BY-SA 2.5 |