Nullhomologous words in free groups which are not nullhomologous in any proper subgroup

DOI10.1007/BF01193627zbMath0628.20026OpenAlexW1975914616MaRDI QIDQ1093009

Albrecht Dold

Publication date: 1988

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01193627

zbMATH Keywords

wordsfinitely generated free groupcommutator subgroupcommutator product

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Free nonabelian groups (20E05) Commutator calculus (20F12)

Related Items (8)

Recognizing automorphisms of the free groups ⋮ Generic elements of free groups ⋮ Test elements for endomorphisms of free groups and algebras ⋮ Products of test elements of free factors of a free group ⋮ Generic, almost primitive and test elements of free Lie algebras ⋮ Primitive elements and automorphisms of free algebras of Schreier varieties ⋮ Primitive, almost primitive, test, and \(\Delta\)-primitive elements of free algebras with the Nielsen-Schreier property ⋮ Equations in acylindrically hyperbolic groups and verbal closedness

Cites Work

• Equations in groups
• Alternierende Produkte in freien Gruppen
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Nullhomologous words in free groups which are not nullhomologous in any proper subgroup