Primitive elements in the free metabelian group of rank \(3\)

DOI10.1006/jabr.1998.7817zbMath0938.20027OpenAlexW2020592047MaRDI QIDQ1818864

Martin J. Evans

Publication date: 3 April 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7817

zbMATH Keywords

elementary subgroupsprimitive elementsfree groupsspecial linear groupsLaurent polynomial ringsfree metabelian groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05) Automorphisms of infinite groups (20E36) Other matrix groups over rings (20H25) Free nonabelian groups (20E05)

Related Items (4)

A THEOREM ON MATRIX GROUPS ⋮ NON-TAME AUTOMORPHISMS OF A FREE GROUP OF RANK 3 IN ⋮ Primitive elements and automorphisms of the free metabelian group of rank 3 ⋮ ON AUTOMORPHISMS OF FREE NILPOTENT-BY-ABELIAN GROUPS

Cites Work

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• [https://portal.mardi4nfdi.de/wiki/Publication:3695463 Aut(F) →Aut(F/F � � ) is Surjective for Free Group F of Rank 4]
• ON THE STRUCTURE OF THE SPECIAL LINEAR GROUP OVER POLYNOMIAL RINGS
• Presentations of Groups Involving More Generators than are Necessary
• Presentations of the Free Metabelian Group of Rank 2
• Induced Automorphisms of Free Groups and Free Metabelian Groups
• Varieties of groups
• IA automorphisms of free and free metabelian groups
• Zwei Klassen charakteristischer Untergruppen und ihre Faktorgruppen

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