Difference between revisions of "Constant APS of an abelian group"

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==Definition==
 
==Definition==
  
Let <math>G</math> be an [[Abelian group]]. The '''constant APS''' of <math>G</math> is an APS whose <math>n^{th}</math> member is <math>G</math>, and where the concatenation map <math>\Phi_{m,n}</math> is the group operation.
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Let <math>G</math> be an [[defining ingredient::abelian group]]. The '''constant APS''' of <math>G</math> is an APS whose <math>n^{th}</math> member is <math>G</math>, and where the concatenation map <math>\Phi_{m,n}</math> is the group operation.
  
 
The constant APS is an [[APS of groups]] but is not an [[IAPS of groups]].
 
The constant APS is an [[APS of groups]] but is not an [[IAPS of groups]].

Latest revision as of 23:12, 21 January 2009

Definition

Let G be an abelian group. The constant APS of G is an APS whose n^{th} member is G, and where the concatenation map \Phi_{m,n} is the group operation.

The constant APS is an APS of groups but is not an IAPS of groups.