degenerate_homology: Calculates the degenerate Homology for a rack/birack.

In quhomology: Calculation of Homology of Quandles, Racks, Biquandles and Biracks

Description

This function calculates the degenerate homology group of a given rack or birack.

Usage

degenerate_homology(degree, k, return_values = FALSE)

Arguments

degree	This is the degree of the Homology group, that is, if one wants to calculate $H^D_3$, then degree=3.
k	This describes the order of the underlying rack or birack.
return_values	If return_values = TRUE, the functions returns the diagonal of the Smith Normal Form. If FALSE (the default), the function calls output_results instead which prints the homology group to the screen.

Details

This function is based on the algorithm described in the references below. It should be sufficient for most users to change the up/down action functions according to their requirements and then run the calculation.

Value

NULL if return_values is FALSE, the diagonal of the Smith Normal Form if return_values is TRUE.

References

http://www.maths.sussex.ac.uk/Staff/RAF/Maths/homo.pdf

See Also

homology output_results

Examples

degenerate_homology(3,3)

quhomology documentation built on May 1, 2019, 8:44 p.m.