THE MAXIMAL AND MINIMAL CONDITIONS FOR NORMAL SUBGROUPS OF INFINITE ORDER OR INDEX

DOI10.1081/AGB-200040936zbMath1070.20034MaRDI QIDQ4678681

Alessio Russo, Derek J. S. Robinson, Dae Hyun Paek, Francesco de Giovanni

Publication date: 23 May 2005

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

zbMATH Keywords

maximal conditionsubgroups of infinite indexminimal conditioninfinite normal subgroups

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Other classes of groups defined by subgroup chains (20F22) Chains and lattices of subgroups, subnormal subgroups (20E15)

Cites Work

• Unnamed Item
• Groups satisfying weak minimum and maximum conditions for normal subgroups
• Chain conditions for subgroups of infinite order or index
• Group rings of polycyclic groups
• Some properties of groups inherited by normal subgroups of finite index
• Polyminimaxgruppen
• CHAIN CONDITIONS FOR SUBNORMAL SUBGROUPS OF INFINITE ORDER OR INDEX
• LOCALLY NILPOTENT GROUPS WITH THE MAXIMAL CONDITION ON INFINITE NORMAL SUBGROUPS
• Residual Properties of Some Classes of Infinite Soluble Groups
• ON GROUPS SATISFYING A WEAK MINIMAL CONDITION
• Finiteness Conditions for Soluble Groups

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