Free subgroups of finitely presented groups

DOI10.1007/BF01669436zbMath0391.20023MaRDI QIDQ1251286

N. S. Romanovskii

Publication date: 1978

Published in: Algebra and Logic (Search for Journal in Brave)

zbMATH Keywords

Finitely Generated Free Subgroups of Finitely Presented GroupsFinitely Presented Groups in Soluble Varieties

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generators, relations, and presentations of groups (20F05) Other classes of groups defined by subgroup chains (20F22) Quasivarieties and varieties of groups (20E10)

Related Items (9)

Some properties of Fox's derivations for groups. ⋮ Metabelian groups: full-rank presentations, randomness and Diophantine problems ⋮ Free product decompositions in images of certain free products of groups. ⋮ Primitive and almost primitive elements of Schreier varieties ⋮ Large hyperbolic lattices. ⋮ Infinite groups ⋮ An analogue of the Magnus problem for associative algebras. ⋮ On growth, identities and free subsemigroups for inverse semigroups of deficiency one ⋮ A Freiheitssatz for free products of pro-\(p\) groups

Cites Work

• The Residual Nilpotence of Wreath Products
• A Note on Zero Divisors in Group-Rings
• A FREEDOM THEOREM FOR GROUPS WITH ONE DEFINING RELATION IN THE VARIETIES OF SOLVABLE AND NILPOTENT GROUPS OF GIVEN LENGTHS
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