Direct Factor

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

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.

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