Hypercentrality and hypercyclicity in skew linear groups

DOI10.1007/BF01210709zbMath0599.20081MaRDI QIDQ1080528

Iain A. Stewart

Publication date: 1987

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

division ringshypercyclicskew linear groupslocally nilpotenthypercentrallocally finite-dimensionallocally supersolublemaximal unipotent normal subgroup

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Subgroup theorems; subgroup growth (20E07) Generalizations of solvable and nilpotent groups (20F19) Other matrix groups over rings (20H25) Local properties of groups (20E25) Division rings and semisimple Artin rings (16Kxx)

Related Items (1)

Multiplicative subgroups in weakly locally finite division rings

Cites Work

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• Hyperabelian skew-linear groups
• On certain soluble skew-linear groups
• The paraheight of certain skew linear groups
• The upper central factors of certain skew-linear groups
• Supersolubility in Certain Skew Linear Groups
• Nilpotence in Certain Linear Groups Over Division Rings

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