Homology, Homotopy and Applications

Volume 1 (1999)

Number 1

Computing second cohomology of finite groups with trivial coefficients

Pages: 163 – 168

DOI: http://dx.doi.org/10.4310/HHA.1999.v1.n1.a7

Authors

Graham Ellis (Max-Planck-Institut für Mathematik, Bonn, Germany)

Irina Kholodna (Department of Mathematics, National University of Ireland, Galway, Republic of Ireland)

Abstract

The paper describes a simple procedure for computing the second cohomology $H^2(G,A)$ of a finitely presented finite group $G$ with coefficients in a finitely presented finite abelian group $A$. An accompanying text-file contains a Magma implementation of the procedure.

Keywords

second cohomology, group extensions, Magma software

2010 Mathematics Subject Classification

20J06

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