dc.contributor.author Dietrich, Heiko dc.contributor.author Moravec, Primož dc.date.accessioned 2019-02-27T10:50:35Z dc.date.available 2019-02-27T10:50:35Z dc.date.issued 2019-03-01 dc.identifier.uri http://publications.mfo.de/handle/mfo/1409 dc.description.abstract Liedtke (2008) has introduced group functors $K$ and $\tilde K$, which are used in the context of describing certain invariants for complex algebraic surfaces. He proved that these functors are connected to the theory of central extensions and Schur multipliers. In this work we relate $K$ and $\tilde K$ to a group functor $\tau$ arising in the construction of the non-abelian exterior square of a group. In contrast to $\tilde K$, there exist efficient algorithms for constructing $\tau$, especially for polycyclic groups. Supported by computations with the computer algebra system GAP, we investigate when $K(G,3)$ is a quotient of $\tau(G)$, and when $\tau(G)$ and $\tilde K(G,3)$ are isomorphic. en_US dc.language.iso en_US en_US dc.publisher Mathematisches Forschungsinstitut Oberwolfach en_US dc.relation.ispartofseries Oberwolfach Preprints;2019,08 dc.subject Finite groups en_US dc.subject Schur multiplier en_US dc.subject Non-Abelian exterior square en_US dc.title On a Group Functor Describing Invariants of Algebraic Surfaces en_US dc.type Preprint en_US dc.rights.license Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. de dc.rights.license This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. en dc.identifier.doi 10.14760/OWP-2019-08 local.scientificprogram Research in Pairs 2018 en_US local.series.id OWP-2019-08 en_US local.subject.msc 20 en_US local.subject.msc 14 en_US
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