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

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==Definition== | ==Definition== | ||

− | Let <math>G</math> be an [[ | + | 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 be an abelian group. The **constant APS** of is an APS whose member is , and where the concatenation map is the group operation.

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