# An Enhanced Decomposition Theorem for Knots with Symmetry Information

@inproceedings{Mastin2014AnED, title={An Enhanced Decomposition Theorem for Knots with Symmetry Information}, author={Matt Mastin}, year={2014} }

We present an enhanced prime decomposition theorem for knots that gives the isotopy classes of composite knots that can be constructed from a given list of prime factors (allowing for the mirroring and orientation reversing for each factor). Underlying the theorem is an algebraic construction that also allows for the computation of the intrinsic symmetries (invertibility, chirality, etc.) of a composite knot from those of the prime factors. We then use this construction to give a table of… CONTINUE READING

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