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Embedding Obstructions for the Generalized Quaternion Group

✍ Scribed by Ivo M. Michailov; Nikola P. Ziapkov

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 189 KB
Volume: 226
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1999.8190

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✦ Synopsis

In this paper, we examine the obstructions to the solvability of certain embedding problems with the generalized quaternion group over arbitrary fields of characteristic not 2. First we consider the Galois embedding problem with abelian kernel in cohomological terms. Then we proceed with a number of examples in order to illustrate the role of the properties of the base field on the solvability of the embedding problem.

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