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2 votes
0 answers
111 views

Factors that influenced the establishment of Galois theory

I have recently become interested in Galois theory, as I have recently asked about it on Mathematics Stack Exchange. As in this question, I was curious about the meaning of "maximally" ...
2 votes
1 answer
274 views

Did Galois make use of the concept of a basis?

I've been reading Galois' First Memoir, where he introduces Galois Theory by giving a sufficient and necessary condition for a polynomial to be solvable by radicals. The proofs are a bit sketchy and ...
12 votes
2 answers
1k views

Did Evariste Galois create the entire group structure concept?

Did Evariste Galois create the entire group structure concept? If yes, were "super-sets" of groups (e.g. rings or vector spaces) created on top of Galois's work? When and by who? If no, did Galois ...
5 votes
1 answer
349 views

Lost memoir of Évariste Galois

According to the Wikipedia article on Évariste Galois He submitted his memoir on equation theory several times, but it was never published in his lifetime due to various events. Though his first ...