Automorphic and endomorphic reducibility and primitive endomorphisms of free metabelian groups

DOI10.1080/00927879708826040zbMath0893.20024OpenAlexW2072371694MaRDI QIDQ4361044

E. I. Timoshenko, Chander Kanta Gupta

Publication date: 25 August 1998

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

Full work available at URL: https://doi.org/10.1080/00927879708826040

zbMATH Keywords

algorithmsprimitive elementsautomorphismsfree groups of finite rankFox derivativesfree metabelian groupsrelatively free groupsfree generating systemsprimitive endomorphismsproblem of automorphic reducibility

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Automorphisms of infinite groups (20E36) Free nonabelian groups (20E05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items (3)

Primitive and almost primitive elements of Schreier varieties ⋮ On primitive and inner endomorphisms of groups ⋮ Endomorphisms of free solvable groups preserving primitivity of systems of elements.

Cites Work

• Unnamed Item
• IA-automorphism of certain two-generator torsion-free groups
• On endomorphisms of free groups that preserve primitivity
• Recognizing automorphisms of the free groups
• Some Applications of Artamonov-Quillen-Suslin Theorems to Metabelian Inner Rank and Primitivity
• Presentations of the Free Metabelian Group of Rank 2
• Equations in free metabelian groups

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