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Minimal classes and maximal class inp-groups

✍ Scribed by Patrizia Longobardi; Mercede Maj; Avinoam Mann

Book ID
105618616
Publisher
The Hebrew University Magnes Press
Year
1999
Tongue
English
Weight
478 KB
Volume
110
Category
Article
ISSN
0021-2172

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πŸ“œ SIMILAR VOLUMES

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## Finite groups, maximal class MSC (2010) 20D15 Let R be the ring Z[x]/ x p -1 x -1 = Z[x] and let a be the ideal of R generated by (x -1). In this paper, we discuss the structure of the Z[Cp ]-module (R/a n -1 )∧(R/a n -1 ), which plays an important role in the theory of p-groups of maximal cla

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Let p be a fixed prime number. By a p-extension of fields, we understand a Galois extension with pro-p Galois group. If k is a number field, let k Ε½Ο±. be the maximal unramified p-extension of k s k Ε½0. , and put Ε½ Ε½Ο±. . Γ„ Ε½ i. 4 Ε½ . Ε½ 0 .