NR-group

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This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism
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VIEW RELATED: Group property implications | Group property non-implications |Group metaproperty satisfactions | Group metaproperty dissatisfactions | Group property satisfactions | Group property dissatisfactions


This article defines a term that has been used or referenced in a journal article or standard publication, but may not be generally accepted by the mathematical community as a standard term.[SHOW MORE]

History

This term was introduced by: Plotkin

Definition

Symbol-free definition

A group is said to be a NR-group if the set of all its left Engel elements coincides with its Hirsch-Plotkin radical.