On the holomorphs of soluble groups of finite rank

DOI10.1016/0022-4049(74)90030-9zbMath0286.20031OpenAlexW2016873119WikidataQ126353199 ScholiaQ126353199MaRDI QIDQ1845948

Bertram Arthur Frederick Wehrfritz

Publication date: 1974

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(74)90030-9

Mathematics Subject Classification ID

Chains and lattices of subgroups, subnormal subgroups (20E15) Other matrix groups over rings (20H25) Other matrix groups over fields (20H20)

Related Items (18)

Solvable Lattices and Their Groups of Automorphisms ⋮ Automorphism groups of polycyclic-by-finite groups and arithmetic groups. ⋮ Complete cohomological functors on groups ⋮ The linearity of automorphism groups of relatively free groups ⋮ Periodic subsemigroups of endomorphism monoids. ⋮ On finitely generated soluble linear groups ⋮ Remarks on injective specializations ⋮ Periodic-by-nilpotent linear groups. ⋮ Almost fixed-point-free automorphisms of soluble groups. ⋮ Wielandt's subnormality criterion and linear groups ⋮ Group rings of hyperabelian groups ⋮ Representations of holomorphs of group extensions with Abelian kernels ⋮ Linear groups ⋮ On a theorem of Rhemtulla on polycyclic groups. ⋮ A residual property of finitely generated abelian-by-nilpotent groups ⋮ Unnamed Item ⋮ Two theorems on polycyclic groups ⋮ Matrix representation of solvable Lie groups and their lattice automorphisms

Cites Work

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• Strong finiteness conditions in locally finite groups
• The automorphism group of a polycyclic group
• Automorphism towers of polycyclic groups
• Representation of finitely generated metabelian groups by matrices
• On finitely presented metabelian groups
• Finiteness Conditions for Soluble Groups
• Matrix groups

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