Splitting over nilpotent and hypercentral residuals

DOI10.1017/S0305004100051641zbMath0309.20008OpenAlexW1989216388MaRDI QIDQ4067268

Brian Hartley, M. J. Tomkinson

Publication date: 1975

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100051641

Mathematics Subject Classification ID

Chains and lattices of subgroups, subnormal subgroups (20E15) Extensions, wreath products, and other compositions of groups (20E22)

Related Items

Hypercentral Residuals of a Join of Subnormal Subgroups, SOME CRITERIA FOR EXISTENCE OF SUPPLEMENTS TO NORMAL SUBGROUPS AND THEIR APPLICATIONS, Cohomology of locally nilpotent groups, Properties of groups inherited by normal subgroups, Groups with subnormality for all subgroups that are not finitely generated, Hypercentral extensions of Abelian groups, On generalized hypercenters in artinian modules, Locally nilpotent groups with the min-\(\infty\)-n condition, Anti-CC-groups and anti-PC-groups., Soluble products of nilpotent groups, A Class of infinite soluble groups with an A-group condition, The vanishing of certain homology and cohomology groups, Solvable groups of finite rank, On Influence of Contranormal Subgroups on the Structure of Infinite Groups

Cites Work

• The \(\mathfrak F\)-normalizers of a finite soluble group
• Saturated formations and Sylow structure in locally finite groups
• Residual Properties of Some Classes of Infinite Soluble Groups
• The Splitting of Certain Solvable Groups