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The geometrical and Möbius-invariant properties of parabolic cycles

The geometrical and Möbius-invariant properties of parabolic cycles

Abstract We have studied parabolic cycles and given their equivalent matrix representations. Invariant properties of matrices under similarity have contributed to the Möbius-invariant properties in cycles. We have further discussed the inner product in the cycle space. Also, the geometrical properties of orthogonality and reflection have been studied to obtain …