Natural central extensions of groups
Christian Liedtke
Universität Bonn, Germany
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Abstract
Given a group and an integer , we construct a new group . 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