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FAMILIES OF SIMPLE GROUPS Today we showed that the groups
FAMILIES OF SIMPLE GROUPS Today we showed that the groups

... Today we showed that the groups An , n ≥ 6, are all simple. All but finitely many of the other finite simple groups also fall into infinite families, and these families generally consist of invertible matrices over finite fields such as Fp (the integers mod p, p a prime). Later in the course we will ...
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... by plotting the intercepts and connecting the two points. Example: Plot the graph of the equation that has the intercept points (3,0) and (0,-2). ...
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... Hence it has eigenvalue 1 with 1 as left and right eigenvector. (B) The eigenvalue 1 of I + K has algebraic multiplicity one (namely it is a simple root of the characteristic polynomial of I + K). (C) All the other eigenvalues are strictly inside the unit circle. For nonnegative matrices, namely for ...
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Eigenvalues and eigenvectors

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