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Math Methods
Cards for studying math methods
Question | Answer |
---|---|
What does Lagrange's Theorem say? | Lagrange's Theorem says that for a finite group G with n elements, if there is a subgroup H contained in G with m elements, then m is a factor of n. |
What is the name of the group of 2D rotations in Euclidean Space ? | So(2) |
Define a Group? | A group is a set of elements which when any two elements are multiplied together give another element in the group. |
What are the three axioms that must be true to be defined as a group? | 1. Associativity: (g1*g2)*g3 = g1*(g2*g3) 2. Existence of the Identity: I * g1 = g1 3. existence of the inverse: g1*g1^(-1) = I |