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On the generating graph of a simple group
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dc.contributor.author | Lucchini, Andrea | |
dc.contributor.author | Maroti, Attila | |
dc.contributor.author | Roney-Dougal, Colva Mary | |
dc.date.accessioned | 2017-03-27T23:33:37Z | |
dc.date.available | 2017-03-27T23:33:37Z | |
dc.date.issued | 2017-08 | |
dc.identifier | 242339164 | |
dc.identifier | 8785e469-5b0c-4c3b-a7fb-7f2ce38722e1 | |
dc.identifier | 84988701020 | |
dc.identifier | 000406351200005 | |
dc.identifier.citation | Lucchini , 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/S1446788716000458 | en |
dc.identifier.issn | 1446-7887 | |
dc.identifier.other | ORCID: /0000-0002-0532-3349/work/73700925 | |
dc.identifier.uri | https://hdl.handle.net/10023/10539 | |
dc.description | The 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.abstract | The 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.format.extent | 287176 | |
dc.language.iso | eng | |
dc.relation.ispartof | Journal of the Australian Mathematical Society | en |
dc.subject | Generating graph | en |
dc.subject | Finite group | en |
dc.subject | QA Mathematics | en |
dc.subject | T-NDAS | en |
dc.subject | BDC | en |
dc.subject.lcc | QA | en |
dc.title | On the generating graph of a simple group | en |
dc.type | Journal article | en |
dc.contributor.institution | University of St Andrews. Pure Mathematics | en |
dc.contributor.institution | University of St Andrews. Centre for Interdisciplinary Research in Computational Algebra | en |
dc.identifier.doi | 10.1017/S1446788716000458 | |
dc.description.status | Peer reviewed | en |
dc.date.embargoedUntil | 2017-03-26 |
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