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
Van Kampen’s embedding obstruction for discrete groups
✍ Scribed by Mladen Bestvina; Michael Kapovich; Bruce Kleiner
- Publisher
- Springer-Verlag
- Year
- 2002
- Tongue
- English
- Weight
- 178 KB
- Volume
- 150
- Category
- Article
- ISSN
- 0020-9910
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For each of the dihedral, semidihedral, and quaternion 2-groups, we represent the obstructions to certain Brauer problems as tensor products of quaternion algebras. Then we reduce various embedding problems with cyclic 2-kernels into two Brauer problems, thus finding the obstructions in some specifi
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