Galois Groups and the Multiplicative Structure of Field Extensions

DOI10.2307/2154128zbMath0753.12003OpenAlexW4238019269MaRDI QIDQ4018453

Roger Wiegand, Robert M. Guralnick

Publication date: 16 January 1993

Full work available at URL: https://doi.org/10.2307/2154128

zbMATH Keywords

Galois groupmultiplicative groupsinfinite ranktorsion groupfinite Galois extension

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10)

Related Items

Primitive permutation groups and derangements of prime power order., Torsion in class groups of modules over certain one-dimensional rings, Finite \(p'\)-semiregular groups, Multiplicative groups of fields modulo products of subfields, On the Zariski-density of integral points on a complement of hyperplanes in \(\mathbb P^n\), The primitive $p$-Frobenius groups, On same-invariant linear groups, Divisible multiplicative groups of fields, Some aspects of finite linear groups: A survey, Dowling geometries representable over rings

Cites Work

• Thin finite simple groups
• Affine curves on which every point is a set-theoretic complete intersection
• Picard groups of singular affine curves over a perfect field
• Multiplicative groups of Galois extensions
• Über die multiplikative Struktur von Körpererweiterungen
• Splitting of rank-one valuations
• A question of stafford about affine pi algebras
• On Large Zsigmondy Primes
• On an Existence Lemma in Valuation Theory
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