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Group matrices for the quaternion and generalized dihedral groups

โœ Scribed by K. Wang; P.J. Davis


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
184 KB
Volume
12
Category
Article
ISSN
0898-1221

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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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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