Natural central extensions of groups
Groups, geometry, and dynamics, Tome 2 (2008) no. 2, pp. 245-261
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Given a group G and an integer n≥2, we construct a new group 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.
Classification :
20-XX, 00-XX
Mots-clés : Covering groups, Schur multiplier, fundamental groups of plane curve complements
Mots-clés : Covering groups, Schur multiplier, fundamental groups of plane curve complements
Affiliations des auteurs :
Christian Liedtke  1
Christian Liedtke. Natural central extensions of groups. Groups, geometry, and dynamics, Tome 2 (2008) no. 2, pp. 245-261. doi: 10.4171/ggd/38
@article{10_4171_ggd_38,
author = {Christian Liedtke},
title = {Natural central extensions of groups},
journal = {Groups, geometry, and dynamics},
pages = {245--261},
year = {2008},
volume = {2},
number = {2},
doi = {10.4171/ggd/38},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/38/}
}
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