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• Example:Permutation (group theory) of S5/Body
  ...3\ 5\ 4)(2)}} if you do not take the "implicit identity" part. That is any element not in a cycle stays the same
  1 KB (177 words) - 12:11, 30 November 2016
• Trivial
  ...ightarrow\{e\})}} is called the [[trivial group]], {{M|e}} is the identity element and {{M|e*e\eq e}} is the only operation
  1 KB (171 words) - 13:29, 16 February 2017
• Trivial group
  We use {{M|e}} for the object as it is the identity element of the group # {{M|e}} is the identity element of the group.
  2 KB (268 words) - 13:41, 16 February 2017
• Exercises:Saul - Algebraic Topology - 7/Exercise 7.6
  ...beta)-\partial_1(\beta)}}, then we see {{M|\partial_1(c)}} is the identity element, {{M|0}}, so cannot be in a basis set for obvious reasons, and {{M|\partial ...y to the identity, couple this with the domain of {{M|\partial_n}} has one element and the result follows.
  10 KB (1,664 words) - 12:43, 1 March 2017
• Floor function
  ...subseteq\mathbb{N}_0\subseteq\mathbb{R}_{\ge 0} }} - note that the maximum element is defined as {{M|T_x}} is always finite. ...}_0} }} - its {{link|restriction|function}} to {{M|\mathbb{N}_0}} is the [[identity map]] on {{M|\mathbb{N}_0}}
  2 KB (377 words) - 21:20, 21 January 2018