Residually finite abelian group

From Groupprops
Revision as of 01:19, 22 January 2012 by Vipul (talk | contribs) (Created page with "==Definition== A '''residually finite abelian group''' is a group satisfying the following equivalent conditions: # It is both [[defining ingredient::residually finite g...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search


A residually finite abelian group is a group satisfying the following equivalent conditions:

  1. It is both residually finite and abelian.
  2. It is both conjugacy-separable and abelian.
This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism
View a complete list of group properties
VIEW RELATED: Group property implications | Group property non-implications |Group metaproperty satisfactions | Group metaproperty dissatisfactions | Group property satisfactions | Group property dissatisfactions
This page describes a group property obtained as a conjunction (AND) of two (or more) more fundamental group properties: residually finite group and abelian group
View other group property conjunctions OR view all group properties