On abelian subgroups of relatively free groups

DOI10.1080/00927879408824986zbMath0813.20028OpenAlexW2101504646MaRDI QIDQ4293768

Andrei Storozhev

Publication date: 7 July 1994

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879408824986

zbMATH Keywords

verbal subgroupscountable abelian groupsfinitely generated relatively free groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Free nonabelian groups (20E05) Quasivarieties and varieties of groups (20E10)

Related Items (6)

On Nonfinitely Based Varieties of Groups of Large Prime Exponent ⋮ On the join of varieties of groups ⋮ On identities in groups of fractions of cancellative semigroups ⋮ On fully invariant ideals of the free group algebra ⋮ Infinite cyclic verbal subgroups of relatively free groups ⋮ Non-Hopfian relatively free groups.

Cites Work

• The existence of indecomposable abelian groups of arbitrary power
• Unnamed Item

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