Skip Noether is ... the greatest girl mathematician that has ever lived; and the greatest woman scientist of any form now residing, plus a scholar no less than to the aircraft of Madame Curie.

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The discriminant is named "invariant" because it isn't modified by linear substitutions x → a x + b y, y → c x + d y with determinant a d − b c = one . These substitutions variety the Distinctive linear team SL2.[c]

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Her loyalty to mathematical precision brought about 1 colleague to name her "a extreme critic", but she blended this demand for accuracy having a nurturing Mindset.[forty three] A colleague afterwards described her in this way:

In 1918, Noether revealed a paper over the inverse Galois trouble.[96] Instead of identifying the Galois group of transformations of the specified subject and its extension, Noether requested whether or this website not, offered a discipline and a bunch, it normally is achievable to seek out an extension of the sphere which has the specified look at this website group as its Galois team. She diminished this to "Noether's dilemma", which asks if the fixed area of a subgroup G with the permutation group Sn acting on the sector k(x1, .

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