Frobenius subgroups of free products of prosolvable groups

DOI10.1007/BF01308669zbMath0713.20022MaRDI QIDQ749658

Luis Ribes, Wolfgang N. Herfort

Publication date: 1989

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178443

zbMATH Keywords

Frobenius groupscoproductdihedral groupssolvable groupsfree productcategory of pro-C groupsclass of finite groupsfree pro-\({\mathcal C}\) product,Frobenius complementZassenhaus groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Subgroup theorems; subgroup growth (20E07) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Products of subgroups of abstract finite groups (20D40) Limits, profinite groups (20E18)

Related Items (3)

Pro-\(p\) Galois groups of algebraic extensions of \(\mathbb{Q}\) ⋮ Virtually free factors of pro-\(p\) groups ⋮ On Galois groups over Pythagorean and semi-real closed fields

Cites Work

• Profinite Frobenius groups
• Cohomologie galoisienne. Cours au Collège de France, 1962--1963. 3ième éd.
• A subgroup theorem for free products of pro-finite groups
• Freie Produkte pro-endlicher Gruppen und ihre Kohomologie
• Torsion elements and centralizers in free products of profinite groups.
• Subgroups of free pro-p-products
• On Closed Subgroups of Free Products of Profinite Groups
• NORMAL SUBGROUPS OF FREE PROFINITE GROUPS
• A Kurosh Subgroup Theorem for Free Pro--Products of Pro--Groups
• Maximal abelian subgroups of free profinite groups
• Endliche Gruppen I
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