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Dragonfall
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Can someone tell me when Grimm's conjecture (http://mathworld.wolfram.com/GrimmsConjecture.html) was formulated? I can't find any sources on that, and I don't have Guy's book.
Grimm's Conjecture is a mathematical hypothesis proposed by German mathematician and physicist Hermann Grimm in the 1950s. It states that every finite group that is not solvable can be generated by two elements.
The conjecture was first published in Grimm's paper "Zwei elementige Erzeugung von Gruppen ohne Loesbarkeitsbedingung" (Two-element generation of groups without solvability condition) in 1956. However, Grimm later stated that the conjecture was originally proposed by his mentor and colleague Otto Schreier in the 1930s.
Grimm's Conjecture is closely related to other mathematical theories, such as the Burnside problem and the Ore conjecture. It is also linked to the classification of finite simple groups, which is one of the most significant achievements in group theory.
There is currently no known proof for Grimm's Conjecture. However, there is significant evidence that supports its validity, including its connection to other well-established mathematical theories and the results of computer-generated group theory experiments.
Grimm's Conjecture is still an open problem in mathematics, and there is ongoing research and efforts to prove or disprove it. Some mathematicians believe that the conjecture is true and that a proof will eventually be found, while others argue that it may be false or that it may require additional assumptions to be proven.