论文标题
班级组的素数和歼灭者
Primes of higher degree and Annihilators of Class groups
论文作者
论文摘要
让$ l/k $是Galois Group $ g $的数字字段的Galois扩展。我们讨论了一种新的方法，以获取$ \ mathbb {z} [g] $中的元素，该元素将nihihihihihihihiNANIHINAIN -L $ nihihihihihihihihihihihihihihihihihihihihihihihihihihihihihihil of。使用此方法，我们获得了环体磁场类的歼灭者。我们证明这些歼灭者是新的。还讨论了更多后果。此外，我们提到了一些结果和联系，以强调较高残留学位的素数的重要性。
Let $L/K$ be a Galois extension of number fields with Galois group $G$. We discuss a new method to obtain elements in $\mathbb{Z}[G]$ which annihilate the class group of $L$. Using this method, we obtain annihilators of class groups of cyclotomic fields. We show that these annihilators are new. Some more consequences are also discussed. Moreover, we mention some results and connections to highlight importance of primes of higher residue degree.
