On Classes of ExponentialA-Groups

DOI10.1080/00927870902828728zbMath1238.20053OpenAlexW2027885034MaRDI QIDQ3562336

Stephen Majewicz

Publication date: 21 May 2010

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

Full work available at URL: https://doi.org/10.1080/00927870902828728

zbMATH Keywords

nilpotent groupsfree groupsresidual propertiesexponential groups

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Nilpotent groups (20F18) Residual properties and generalizations; residually finite groups (20E26) Derived series, central series, and generalizations for groups (20F14) Other special types of modules and ideals in commutative rings (13C13)

Related Items (1)

On the Extraction of Roots in ExponentialA-Groups II

Cites Work

• Nilpotent groups
• Algebraic geometry over groups. I: Algebraic sets and ideal theory
• Irreducible affine varieties over a free group. I: Irreducibility of quadratic equations and Nullstellensatz
• Irreducible affine varieties over a free group. II: Systems in triangular quasi-quadratic form and description of residually free groups
• A classification of fully residually free groups of rank three or less
• Groups with exponents. I: Fundamentals of the theory and tensor completions
• Some aspects of groups with unique roots
• EXPONENTIAL GROUPS 2: EXTENSIONS OF CENTRALIZERS AND TENSOR COMPLETION OF CSA-GROUPS
• Some Word-Problems
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