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The Riemann-Hurwitz formula for the centralizer of a pair of permutations

✍ Scribed by Antonio Machì

Book ID
112495410
Publisher
Springer
Year
1984
Tongue
English
Weight
430 KB
Volume
42
Category
Article
ISSN
0003-889X

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📜 SIMILAR VOLUMES

A Riemann-Hurwitz Formula for thep-Rank
A Riemann-Hurwitz Formula for thep-Rank of Ideal Class Groups of CM-Fields
✍ Kay Wingberg 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 486 KB

In this note we prove an analogue of the classical Riemann-Hurwitz formula for the minus part of the p-rank of S-ideal class groups of algebraic CM-fields. The result is an improvement of Kida's formula for the cyclotomic Z p -extension.