Remarks on centrality and cyclicity in linear groups

DOI10.1016/0021-8693(71)90055-XzbMath0219.20029MaRDI QIDQ2546949

Bertram Arthur Frederick Wehrfritz

Publication date: 1971

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

Mathematics Subject Classification ID

Linear algebraic groups and related topics (20G99)

Related Items (14)

Some skew linear groups associated with Lie algebras of characteristic zero ⋮ The centralizer poset in groups of semilinear maps ⋮ Groups with the minimal condition on centralizers ⋮ Infinite minimal non-hypercyclic groups ⋮ A note on the conjugacy problem for finite Sylow subgroups of linear pseudofinite groups ⋮ Linear groups ⋮ A residual property of finitely generated abelian-by-nilpotent groups ⋮ Conditions for linear groups to have unipotent derived subgroups. ⋮ Centraliser dimension of partially commutative groups. ⋮ Local theorems for parasolubility ⋮ Nilpotence in groups of semi linear maps. III ⋮ Centrality in abelian by polycyclic groups ⋮ On a centrality property of finitely generated torsion free soluble groups ⋮ On division rings generated by polycyclic groups

Cites Work

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• The hypercenter of linear groups
• Supersoluble and locally supersoluble linear groups
• On a centrality property of finitely generated torsion free soluble groups
• Centrality in finitely generated soluble groups
• Locally Nilpotent Linear Groups
• Transfer Theorems for Periodic Linear Groups
• Groups of Automorphisms of Soluble Groups

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