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Isogeny


A rational homomorphism phi:G->G^' defined over a field is called an isogeny when dimG=dimG^'. Two groups G and G^' are then called isogenous if there exists a third group G^('') and isogenies G^('')->G and G^('')->G^'.


See also

Homeomorphic

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References

Iyanaga, S. and Kawada, Y.(Eds.). Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, p. 47, 1980.

Referenced on Wolfram|Alpha

Isogeny

Cite this as:

Weisstein, Eric W. "Isogeny." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Isogeny.html

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