MHB Use a subgroup lattice to compute a normalizer

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I recommend that in addition to the link (which is beneficial to our helpers in avoiding duplication of effort), taking the time to post the question here as well as the major points you have been given at the other site. At least, that's how I would handle it.
 
Thread 'How to define a vector field?'
Hello! In one book I saw that function ##V## of 3 variables ##V_x, V_y, V_z## (vector field in 3D) can be decomposed in a Taylor series without higher-order terms (partial derivative of second power and higher) at point ##(0,0,0)## such way: I think so: higher-order terms can be neglected because partial derivative of second power and higher are equal to 0. Is this true? And how to define vector field correctly for this case? (In the book I found nothing and my attempt was wrong...

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