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If <math>\phi</math> is a homomorphism from ''G'' to ''H'' and <math>\sigma</math> is a homomorphism from ''H'' to ''K'', show that <math>\sigma\phi</math> is a homomorphism from ''G'' to ''K''. | If <math>\phi</math> is a homomorphism from ''G'' to ''H'' and <math>\sigma</math> is a homomorphism from ''H'' to ''K'', show that <math>\sigma\phi</math> is a homomorphism from ''G'' to ''K''. | ||
Revision as of 16:56, 17 February 2009
If $ \phi $ is a homomorphism from G to H and $ \sigma $ is a homomorphism from H to K, show that $ \sigma\phi $ is a homomorphism from G to K.
