Each of the sets forming a direct product is said to be a direct factor. A group is said to be a direct factor of the group if is isomorphic to the group direct product for some group . In the case of Abelian groups, is isomorphic to the direct sum , and direct factor is a synonym for direct summand.

# Direct Factor

## See also

Direct Product, Direct Sum, Direct Summand, Group Direct Product
*This entry contributed by Margherita
Barile*

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## Cite this as:

Barile, Margherita. "Direct Factor." From *MathWorld*--A Wolfram Web Resource, created by Eric
W. Weisstein. https://mathworld.wolfram.com/DirectFactor.html