Groups with many nilpotent subgroups

zbMath0861.20039MaRDI QIDQ5921626

Patrizia Longobardi, Avinoam Mann, Mercede Maj, Akbar Hussein Rhemtulla

Publication date: 12 March 1997

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_1996__95__143_0

zbMATH Keywords

subgroups of finite indexfinitely generated groupsnilpotent subgroupsFC-groupsupper central seriesRamsey's Theoreminfinite subsets of elementstorsion free (N) groupstorsion-free \((\text{N}_ k)\) groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Generalizations of solvable and nilpotent groups (20F19) Nilpotent groups (20F18) FC-groups and their generalizations (20F24)

Cites Work

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• Groups covered by finitely many cosets or subgroups
• Infinite groups in a given variety and ramsey's theorem
• Groups with Many Rewritable Products

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