Centrality in finitely generated soluble groups

DOI10.1016/0021-8693(70)90016-5zbMath0238.20032OpenAlexW2005716100MaRDI QIDQ2552944

James E. Roseblade, John C. Lennox

Publication date: 1970

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

Full work available at URL: https://doi.org/10.1016/0021-8693(70)90016-5

Mathematics Subject Classification ID

Chains and lattices of subgroups, subnormal subgroups (20E15)

Related Items (22)

Pseudofinite groups as fixed points in simple groups of finite Morley rank ⋮ Nilpotent subgroups and the hypercentre of infinite soluble groups ⋮ The centralizer poset in groups of semilinear maps ⋮ Groups with the minimal condition on centralizers ⋮ CENTRALISER DIMENSION OF FREE PARTIALLY COMMUTATIVE NILPOTENT GROUPS OF CLASS 2 ⋮ Groups having many 2-generated subgroups in a given class ⋮ Primitive group rings of soluble groups ⋮ Infinite groups ⋮ Group rings ⋮ A residual property of finitely generated abelian-by-nilpotent groups ⋮ Bigenetic properties of finitely generated hyper- (Abelian-by-finite) groups ⋮ Centrality in wreath products ⋮ Centraliser dimension of partially commutative groups. ⋮ Characterisation of nilpotent-by-finite groups ⋮ The verbal topology of a group ⋮ Nilpotence in groups of semi linear maps. III ⋮ Universal theories and centralizer dimensions of groups ⋮ Centrality in abelian by polycyclic groups ⋮ Remarks on centrality and cyclicity in linear groups ⋮ On a centrality property of finitely generated torsion free soluble groups ⋮ On the relationships between the factors of upper and lower central series in groups and other algebraic structures ⋮ The Fitting-Gaschütz-Hall relation in certain soluble by finite groups

Cites Work

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• Twisted wreath products of groups
• The hypercenter of linear groups
• Some properties of groups inherited by normal subgroups of finite index
• The upper central series in soluble groups
• On the Finiteness of Certain Soluble Groups
• The Frattini Subgroups of Finitely Generated Groups
• Locally Nilpotent Linear Groups
• Finiteness Conditions for Soluble Groups

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