scientific article; zbMATH DE number 1438949

zbMath0943.20020MaRDI QIDQ4951274

N. S. Romanovskii

Publication date: 4 May 2000

Full work available at URL: https://eudml.org/doc/187903

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zbMATH Keywords

free productsprofinite groupsverbal subgroupsfree products of profinite groupsShmel'kin embeddings

Mathematics Subject Classification ID

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

Related Items (13)

Algebraic sets in a finitely generated 2-step solvable rigid pro-\(p\)-group. ⋮ Comparison between the universal theories of partially commutative metabelian groups ⋮ Free product decompositions in images of certain free products of groups. ⋮ Universal theories for free solvable groups. ⋮ \(\mathbb Q\)-completions of free solvable groups. ⋮ Equations and algebraic geometry over profinite groups. ⋮ Generators of Groups and Lie Algebras of the Form F/[N,N] ⋮ Partially commutative metabelian pro-\(p\)-groups ⋮ The congruence subgroup problem for the free metabelian group on \(n\geq 4\) generators ⋮ A basis for the commutator subgroup of a partially commutative metabelian pro-\(p\)-group ⋮ Rigid metabelian pro-\(p\)-groups. ⋮ A Freiheitssatz for free products of pro-\(p\) groups ⋮ Normal automorphisms of a soluble product of abelian groups.

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