The dimension subgroup problem

DOI10.1016/0021-8693(72)90018-XzbMath0233.20001MaRDI QIDQ2551148

Robert Sandling

Publication date: 1972

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

Mathematics Subject Classification ID

Derived series, central series, and generalizations for groups (20F14)

Related Items (22)

Some remarks on subgroups determined by certain ideals in integral group rings ⋮ Unnamed Item ⋮ A note on polynomial maps ⋮ Lie Dimension Subgroups and Central Series Related to Group Algebras ⋮ On Fox and augmentation quotients of semidirect products. ⋮ The Lie dimension subgroup conjecture ⋮ Some remarks on Lie dimension subgroups ⋮ Lie dimension subgroups ⋮ Augmentation Quotients of Free Group Rings ⋮ Residually Lie nilpotent group rings ⋮ Group rings ⋮ The seventh and eighth Lie dimension subgroups ⋮ Some intersections and identifications in integral group rings ⋮ Polynomial maps on groups. II ⋮ The fourth dimension subgroups and polynomial maps ⋮ Dimension subgroups over arbitrary coefficient rings ⋮ Lie properties of the group algebra and the nilpotency class of the group of units ⋮ Group rings of circle and unit groups ⋮ On the Lie ideals of a ring ⋮ Dimension subgroups and Schur multiplicator ⋮ Augmentation quotients and dimension subgroups of semidirect products ⋮ On Lie nilpotent group rings

Cites Work

• Unnamed Item
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• Stochastic boundary values and boundary singularities for solutions of the equation \(Lu=u^\alpha\)
• Free differential calculus. I: Derivation in the free group ring. II: The isomerphism problem of groups. III: Subgroups
• Dimension subgroups
• Dimension subgroups over arbitrary coefficient rings
• Varieties of groups
• The Universal Coefficient Theorem in the Cohomology of Groups
• On the D-Series of a Finite Group
• Group Rings and Lower Central Series
• Endliche Gruppen I
• On Dimension Subgroups
• The Structure of the Group Ring of a p-Group Over a Modular Field
• Generalization of a Theorem of Magnus
• Sur les groupes nilpotents et les anneaux de Lie
• Note on the integral group ring problem

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