Quasibases of \(p\)-groups

zbMath0941.20060MaRDI QIDQ1962582

Otto Mutzbauer, Elias Toubassi

Publication date: 16 May 2000

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1999__102__77_0

zbMATH Keywords

relationspresentationsgeneratorsAbelian \(p\)-groupsbasic subgroupsinductive quasibases

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Torsion groups, primary groups and generalized primary groups (20K10) Subgroups of abelian groups (20K27)

Related Items

Quasibases for nonseparable \(p\)-groups

Cites Work

• A splitting criterion for a class of mixed modules
• Classification of mixed modules
• Some invariants of p-groups
• A representation theorem for abelian groups with no elements of infinite p-height
• A characterization of torsion abelian groups once basic subgroups have been chosen
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