Sylow-metacyclic groups and Q-admissibility

DOI10.1007/BF02761371zbMath0496.20027OpenAlexW1994150798MaRDI QIDQ1170355

David Chillag, Jack Sonn

Publication date: 1981

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02761371

zbMATH Keywords

Galois groupGalois extensioncrossed productfinite dimensional central division algebraQ-admissible finite groupSylow subgroups metacyclic

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Representations of groups as automorphism groups of algebraic systems (20F29) Finite simple groups and their classification (20D05) Galois cohomology (11R34) Skew fields, division rings (12E15)

Related Items

On cubic arc-transitive \(k\)-multicirculants with soluble groups, \({\mathbb{Q}}\)-admissibility of certain nonsolvable groups, Double covers of \(S_5\) and Frobenius groups as Galois groups over number fields, Q-admissibility of sylow-metacyclic groups as quotient group, Cubic arc-transitive \(k\)-multicirculants, Admissibility and field relations, A generalization of \({\mathbb{Q}}\)-admissibility, \(\mathbb Q\)-admissibility questions for alternating groups, Patching subfields of division algebras, The admissibility of \(M_{11}\) over number fields, Finite groups, Open problems on central simple algebras., On metacyclic subgroups of finite groups, Q-admissibility of solvable groups, Embedding Problems of Division Algebras, The construction of SL(2,3)-polynomials, On the admissibility of finite groups over global fields of finite characteristic, On equivalence of number fields

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