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On the Computation of Certain Homotopical Functors

  • Graham Ellis (a1)

Abstract

This paper provides details of a Magma computer program for calculating various homotopy-theoretic functors, defined on finitely presented groups. A copy of the program is included as an Add-On. The program can be used to compute: the nonabelian tensor product of two finite groups, the first homology of a finite group with coefficients in the arbirary finite module, the second integral homology of a finite group relative to its normal subgroup, the third homology of the finite p-group with coefficients in Zp, Baer invariants of a finite group, and the capability and terminality of a finite group. Various other related constructions can also be computed.

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References

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JCM 1 Ellis Appendix A Part 1
Ellis Appendix A Part 1

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JCM 1 Ellis Appendix A Part 2
Ellis Appendix A Part 2

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JCM 1 Ellis Appendix A Part 3
Ellis Appendix A Part 3

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On the Computation of Certain Homotopical Functors

  • Graham Ellis (a1)

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