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Indices of central embedding problems and applications

โœ Scribed by K. Miyake; H. Opolka

Book ID
103218021
Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
492 KB
Volume
31
Category
Article
ISSN
0022-314X

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๐Ÿ“œ SIMILAR VOLUMES

Cyclic Reduction of Central Embedding Pr
Cyclic Reduction of Central Embedding Problems
โœ H. Opolka ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 152 KB

It is shown that every central embedding problem \(E\) for the absolute Galois group \(\mathscr{G}\) of a number field has a so-called cyclic reduction \(E^{\prime}\); this is a central embedding problem for \(\mathscr{G}\) with a cyclic quotient group \(J\) of \(\mathscr{G}\) such that \(E\) is sol

Embedding Problems over Abelian Groups a
Embedding Problems over Abelian Groups and an Application to Elliptic Curves
โœ Jordi Quer ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 140 KB

Conditions for the solvability of certain embedding problems can be given in terms of the existence of elements with certain norm properties. A classical ลฝ . example, due to Witt 1936, Crelle's J. 174, 237แŽ245 , is that of embedding a Klein extension into a dihedral extension. In ''Construction de p