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dc.contributor.author
Iozzi, Alessandra
dc.contributor.author
Kuhn, M. Gabriella
dc.contributor.author
Steger, Tim
dc.date.accessioned
2020-09-25T19:15:32Z
dc.date.available
2017-06-09T17:16:36Z
dc.date.available
2020-09-25T19:15:32Z
dc.date.issued
2012-04-04
dc.identifier.uri
http://hdl.handle.net/20.500.11850/41350
dc.description.abstract
We extend the construction of multiplicative representations for a free group G introduced by Kuhn and Steger (Isr. J., (144) 2004) in such a way that the new class Mult(G) so defined is stable under taking the finite direct sum, under changes of generators (and hence is Aut(G)-invariant), under restriction to and induction from a subgroup of finite index. The main tool is the detailed study of the properties of the action of a free group on its Cayley graph with respect to a change of generators, as well as the relative properties of the action of a subgroup of finite index after the choice of a "nice" fundamental domain. These stability properties of Mult(G) are essential in the construction of a new class of representations for a virtually free group.
en_US
dc.language.iso
en
en_US
dc.publisher
Cornell University
en_US
dc.title
Stability properties of multiplicative representations of the free group
en_US
dc.type
Working Paper
ethz.journal.title
arXiv
ethz.pages.start
1204.0942
en_US
ethz.size
39 p.
en_US
ethz.identifier.arxiv
1204.0942
ethz.publication.place
Ithaca, NY
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::08802 - Iozzi, Alessandra (Tit.-Prof.)
en_US
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::08802 - Iozzi, Alessandra (Tit.-Prof.)
ethz.relation.isPreviousVersionOf
20.500.11850/348399
ethz.date.deposited
2017-06-09T17:16:54Z
ethz.source
ECIT
ethz.identifier.importid
imp59364ea65c08c42731
ethz.ecitpid
pub:69139
ethz.eth
yes
en_US
ethz.availability
Metadata only
en_US
ethz.rosetta.installDate
2017-07-12T11:14:55Z
ethz.rosetta.lastUpdated
2018-10-01T14:21:38Z
ethz.rosetta.exportRequired
true
ethz.rosetta.versionExported
true
ethz.COinS
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