Some Applications of Artamonov-Quillen-Suslin Theorems to Metabelian Inner Rank and Primitivity

DOI10.4153/CJM-1994-014-6zbMath0809.20025OpenAlexW2328887005MaRDI QIDQ4297228

Narain Gupta, Guennadi A. Noskov, Chander Kanta Gupta

Publication date: 29 March 1995

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-1994-014-6

zbMATH Keywords

basesaugmentation idealsintegral group ringsfree Abelian groupsfree metabelian groups

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generators, relations, and presentations of groups (20F05) Automorphisms of infinite groups (20E36) Other matrix groups over rings (20H25)

Related Items (8)

Finite separability of tameness and primmvity in certain relatively free groups ⋮ Primitivity in the free groups of the variety U_mU_n ⋮ Automorphic and endomorphic reducibility and primitive endomorphisms of free metabelian groups ⋮ Theories of relatively free solvable groups with extra predicate ⋮ Groups of the virtual trefoil and Kishino knots ⋮ Retracts and verbally closed subgroups with respect to relatively free soluble groups ⋮ Epimorphisms between the free groups in a variety of groups ⋮ Primitive elements of the free groups of the varieties \({\mathfrak AN}_n\)

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