Recent content by vikkivi

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    Groups of order 51 and 39 (Sylow theorems).

    Yes, I understand that 51 is not a prime, but 51 is a multiple of 3 and 17. So, I'm using this theorem: Theorem 1. Suppose G is a non-Abelian group whose order is divisible by at least two distinct primes and all of whose proper subgroups have prime-power order. Then (i) absolutevalue[G]...
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    Groups of order 51 and 39 (Sylow theorems).

    Homework Statement a) Classify all groups of order 51. b) Classify all groups of order 39. Homework Equations Sylow theorems. The Attempt at a Solution a) C51 b) Z3 X Z13 and Z13 x Z3, the semi-direct product with presentation <a,b|a13=b3=1, ab=a3 > Are these all of the...
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    Abstract algebra: systems of differential linear equations

    Homework Statement Solve the inhomogeneous differential equation dX/dt=AX+B in terms of the solutions to the homogeneous equation dX/dt=AX. Homework Equations A is an nxn real or complex matrix and X(t) is an n-dimensional vector-valued function. If v is an eigenvector for A with...