Soluble products of polycyclic groups

DOI10.1007/BF01214770zbMath0411.20019MaRDI QIDQ1259688

John C. Lennox, James E. Roseblade

Publication date: 1980

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172907

zbMATH Keywords

polycyclic groupssoluble productspolycyclic subgroups

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15) Extensions, wreath products, and other compositions of groups (20E22) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items

Groups with a supersoluble triple factorization ⋮ Soluble products of minimax groups, and nearly surjective derivations ⋮ Infinite factorized groups ⋮ Locally soluble products of two subgroups with finite rank ⋮ Soluble products of nilpotent groups ⋮ Soluble products of nilpotent groups ⋮ The permutizer condition in infinite soluble groups ⋮ On torsion-free groups with finite regular file bases

Cites Work

• Factorizations of infinite soluble groups
• Group rings of polycyclic groups
• Unnamed Item