Groups with dense subnormal subgroups

zbMath0936.20023MaRDI QIDQ1296420

Francesco de Giovanni, Alessio Russo

Publication date: 6 December 1999

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__101__19_0

zbMATH Keywords

subnormal subgroupsdense families of subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Solvable groups, supersolvable groups (20F16) Nilpotent groups (20F18) Chains and lattices of subgroups, subnormal subgroups (20E15)

Cites Work

• Auflösbare Gruppen mit endlichem Exponenten, deren Untergruppen alle subnormal sind. II. (Soluble groups of finite exponent all subgroups of which are subnormal. II)
• Hyperzentrale Torsionsgruppen, deren Untergruppen alle subnormal sind. (Hypercentral torsion groups all subgroups of which are subnormal)
• Torsionsfreie Gruppen, deren Untergruppen alle subnormal sind. (Torsion free groups all of whose subgroups are subnormal)
• Auflösbarkeit von Gruppen, deren Untergruppen alle subnormal sind. (Solubility of groups all subgroups of which are subnormal)
• A special class of three Engel groups
• Groups with dense pronormal subgroups
• Groups with dense normal subgroups
• Groups with dense normal subgroups
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