Discuție:Grup finit
Simate Andrei Stroe, ați atins buba acestui articol, și anume definiția grupului (finit).
Citez din Gian Carlo Rota (MIT)
The hostility against groups, when groups were first “abstracted” from the earlier “group of permutations” is another case in point. Hadamard admitted to being unable to visualize groups except as groups of permutations. In the thirties, when groups made their first inroad into physics via quantum mechanics, a staunch sect of reactionary physicists, repeatedly cried “Victory!” after convincing themselves of having finally rid physics of the “Gruppenpest.” Later, they tried to have this episode erased from the history of physics.
Așadar, avem trei tipuri de grupuri finite
- old style - introduse prin permutări de simboli
- abstracte (Cayley) - introduse prin axiome /teoria mulțimilor /calculul predicatelor
- combinatorice :D - destul de slab introduse prin teoria categoriilor.