JournalsggdVol. 2, No. 2pp. 245–261

Natural central extensions of groups

  • Christian Liedtke

    Universität Bonn, Germany
Natural central extensions of groups cover
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Abstract

Given a group G and an integer n ≥ 2 we construct a new group \tilde{\mathcal{K}}(G,n). Although this construction naturally occurs in the context of finding new invariants for complex algebraic surfaces, it is related to the theory of central extensions and the Schur multiplier. A surprising application is that Abelian groups of odd order possess naturally defined covers that can be computed from a given cover by a kind of warped Baer sum.

Cite this article

Christian Liedtke, Natural central extensions of groups. Groups Geom. Dyn. 2 (2008), no. 2, pp. 245–261

DOI 10.4171/GGD/38