On Finite Number of Conjugacy Classes in Groups

DOI10.1080/00927872.2013.833212zbMath1306.20032OpenAlexW2037237560MaRDI QIDQ5495302

Olga Macedońska, Jan Krempa, Witold Tomaszewski

Publication date: 31 July 2014

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: http://repolis.bg.polsl.pl/Content/30344

zbMATH Keywords

numbers of conjugacy classessubgroups of finite indexlocally finite groupsgroup extensionsfiniteness conditionsresidually finite groupsanti-finite groupsFNCC-groups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Extensions, wreath products, and other compositions of groups (20E22) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Residual properties and generalizations; residually finite groups (20E26) Local properties of groups (20E25)

Cites Work

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• Small cancellations over relatively hyperbolic groups and embedding theorems.
• Groups covered by conjugates of proper subgroups.
• Group Laws Implying Virtual Nilpotence
• On generalized FC-groups
• Embedding Theorems for Groups

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