Primitive elements of the free groups of the varieties \({\mathfrak AN}_n\)

DOI10.1007/BF02361216zbMath0920.20023MaRDI QIDQ1274067

E. I. Timoshenko

Publication date: 12 July 1999

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

primitive elementsvarieties of groupsnormal closuresfree metabelian groupsrelatively free groupsAbelian-by-nilpotent groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Generators, relations, and presentations of groups (20F05) Automorphisms of infinite groups (20E36) Quasivarieties and varieties of groups (20E10)

Related Items (1)

The center of some solvable groups with one defining relation

Cites Work

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• Algorithmic solvability of the problem of inclusion in a basis of a free metabelian group
• A Generalized Freiheitssatz for Centre-By-Metabelian Groups
• Some Applications of Artamonov-Quillen-Suslin Theorems to Metabelian Inner Rank and Primitivity
• Presentations of the Free Metabelian Group of Rank 2
• A FREEDOM THEOREM FOR GROUPS WITH ONE DEFINING RELATION IN THE VARIETIES OF SOLVABLE AND NILPOTENT GROUPS OF GIVEN LENGTHS

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