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On the Computation of Certain Homotopical Functors

Published online by Cambridge University Press:  01 February 2010

Graham Ellis
Graham Ellis
Affiliation:
Department of Mathematics, National University of IrelandGalway, Ireland, [email protected]

Abstract

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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.

Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 1 , 1998 , pp. 25 - 41
Copyright
Copyright © London Mathematical Society 1998

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