Torsion elements and centralizers in free products of profinite groups.

DOI10.1515/crll.1985.358.155zbMath0549.20017OpenAlexW2167786787MaRDI QIDQ3342741

Luis Ribes, Wolfgang N. Herfort

Publication date: 1985

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN00220245X

zbMATH Keywords

centralizerfree profinite groupfinite subgroupmaximal abelian subgroupelement of finite orderfree profinite productfree pro- \({\mathcal C}\)-productsKurosh-subgroup theorempro-\({\mathcal C}\)-groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Free nonabelian groups (20E05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Limits, profinite groups (20E18)

Related Items (18)

The automorphism groups of the profinite braid groups ⋮ A recursive description of pro-\(p\) Galois groups ⋮ Them-ordered real free pro-2-group. Cohomological characterizations^∗ ⋮ On prosolvable subgroups of profinite free products and some applications ⋮ Determining Fuchsian groups by their finite quotients ⋮ Finitely generated pro-\(2\) groups with a free subgroup of index \(2\) ⋮ Some orbits of free words that are determined by measures on finite groups ⋮ Cocompact lattices in locally pro- -complete rank-2 Kac-Moody groups ⋮ Normalizers in groups and in their profinite completions. ⋮ The congruence subgroup property for \(\Aut F_2\): a group-theoretic proof of Asada's theorem. ⋮ Virtually free factors of pro-\(p\) groups ⋮ The faithfulness of the monodromy representations associated with certain families of algebraic curves ⋮ Unnamed Item ⋮ Semi-graphs of anabelioids ⋮ A generalization of Marshall’s equivalence relation ⋮ Frobenius subgroups of free products of prosolvable groups ⋮ Finite extensions of free pro-\(p\) groups of rank at most two ⋮ On Galois groups over Pythagorean and semi-real closed fields

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