Locally nilpotent groups containing an element that commutes with only finitely many of its conjugates.

DOI10.1007/S11202-010-0102-8zbMath1217.20022OpenAlexW2147268233MaRDI QIDQ542184

V. E. Kislyakov

Publication date: 8 June 2011

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11202-010-0102-8

zbMATH Keywords

locally nilpotent groupsnormal closuresAbelian normal subgroupselements commuting with conjugates

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Subgroup theorems; subgroup growth (20E07) Generalizations of solvable and nilpotent groups (20F19) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) FC-groups and their generalizations (20F24)

Cites Work

• Some questions on the general theory of representations of groups
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