The residual nilpotency of the augmentation ideal and the residual nilpotency of some classes of groups

DOI10.1007/BF03007647zbMath0365.20009OpenAlexW2039787908MaRDI QIDQ1241575

A. I. Lichtman

Publication date: 1977

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03007647

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Free nonabelian groups (20E05)

Related Items (16)

Unnamed Item ⋮ Group rings whose augmentation ideals are residually Lie solvable ⋮ Magnus embeddings and residual nilpotence ⋮ Units and augmentation powers in integral group rings ⋮ Integral group rings with residually nilpotent unit groups ⋮ Infinite groups ⋮ On modular relation modules and residual nilpotence ⋮ Some reflections on proving groups residually torsion-free nilpotent. I. ⋮ Necessary and sufficient conditions for the residual nilpotence of free products of groups ⋮ The AR property and chain conditions in group rings ⋮ The residual nilpotence of verbal wreath products ⋮ RESTRICTED LIE ALGEBRAS OF POLYCYCLIC GROUPS ⋮ Dimension subgroups and Schur multiplicator ⋮ A note on free presentations and residual nilpotence ⋮ Some remarks on the unit groups of integral group rings ⋮ On the equality between homological and cohomological dimension of groups

Cites Work

• The residual nilpotence of certain presentations of finite groups
• Advances in group rings
• Annihilators of relation modules. II
• Cohomological topics in group theory.
• Wreath products and extensions
• On Residual Nilpotence
• The Residual Nilpotence of Wreath Products
• Commutator Subgroups of Free Groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The residual nilpotency of the augmentation ideal and the residual nilpotency of some classes of groups