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Symmetric subset

Revision as of 17:04, 26 May 2012 by Vipul (talk | contribs) (Definition)
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Definition

Symbol-free definition

A subset of a group is said to be symmetric if it satisfies both the following conditions:

  • The identity element lies inside the subset
  • The inverse of any element in the subset also lies inside the subset

Relation with other properties

Stronger properties