Invariante Typen in torsionsfreien, auflösbaren Gruppen endlichen Ranges. (Invariant types in torsion free soluble groups of finite rank)

DOI10.1007/BF01199109zbMath0681.20025MaRDI QIDQ1823317

Hans Peter Heislbetz, Otto Mutzbauer

Publication date: 1990

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

dimension formulainner typetorsion-free locally nilpotent groupsinvariant typesisolated hullnormal subgroups with isolated intersectionpolyrational groupssum typetorsion-free nilpotent groups of finite Pruefer rank

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Generalizations of solvable and nilpotent groups (20F19) Nilpotent groups (20F18) Commutator calculus (20F12)

Related Items (3)

The torsion type of nilpotent groups ⋮ Divisibility and type-conditions in generalized nilpotent groups ⋮ On \(t\)-uniform groups

Cites Work

• Isolators in soluble groups of finite rank
• Rank restricting properties of finitely generated soluble groups
• Solvable R-groups of finite rank
• Some aspects of groups with unique roots
• A Contribution to the Theory of Groups of Prime-Power Order
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