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dc.contributor.authorLucchini, Andrea
dc.contributor.authorMaroti, Attila
dc.contributor.authorRoney-Dougal, Colva Mary
dc.date.accessioned2017-03-27T23:33:37Z
dc.date.available2017-03-27T23:33:37Z
dc.date.issued2017-08
dc.identifier.citationLucchini , A , Maroti , A & Roney-Dougal , C M 2017 , ' On the generating graph of a simple group ' , Journal of the Australian Mathematical Society , vol. 103 , no. 1 , pp. 91-103 . https://doi.org/10.1017/S1446788716000458en
dc.identifier.issn1446-7887
dc.identifier.otherPURE: 242339164
dc.identifier.otherPURE UUID: 8785e469-5b0c-4c3b-a7fb-7f2ce38722e1
dc.identifier.otherScopus: 84988701020
dc.identifier.otherWOS: 000406351200005
dc.identifier.otherORCID: /0000-0002-0532-3349/work/73700925
dc.identifier.urihttps://hdl.handle.net/10023/10539
dc.descriptionThe authors were supported by Universita di Padova (Progetto di Ricerca di Ateneo: Invariable generation of groups). The second author was also supported by an Alexander von Humboldt Fellowship for Experienced Researchers, by OTKA grants K84233 and K115799, and by the MTA Renyi Lendulet Groups and Graphs Research Group.en
dc.description.abstractThe generating graph Γ(H) of a finite group H is the graph defined on the elements of H, with an edge between two vertices if and only if they generate H. We show that if H is a sufficiently large simple group with Γ(G) ≅ Γ(H) for a finite group G, then G ≅ H. We also prove that the generating graph of a symmetric group determines the group.
dc.language.isoeng
dc.relation.ispartofJournal of the Australian Mathematical Societyen
dc.rights© 2016 Australian Mathematical Publishing Association Inc. This work is made available online in accordance with the publisher’s policies. This is the author created, accepted version manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at: https://doi.org/10.1017/S1446788716000458en
dc.subjectGenerating graphen
dc.subjectFinite groupen
dc.subjectQA Mathematicsen
dc.subjectT-NDASen
dc.subjectBDCen
dc.subject.lccQAen
dc.titleOn the generating graph of a simple groupen
dc.typeJournal articleen
dc.description.versionPostprinten
dc.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.contributor.institutionUniversity of St Andrews. Centre for Interdisciplinary Research in Computational Algebraen
dc.identifier.doihttps://doi.org/10.1017/S1446788716000458
dc.description.statusPeer revieweden
dc.date.embargoedUntil2017-03-26


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