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Solvable conjugacy class graph of groups
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dc.contributor.author | Bhowal, Parthajit | |
dc.contributor.author | Cameron, Peter J. | |
dc.contributor.author | Nath, Rajat Kanti | |
dc.contributor.author | Sambale, Benjamin | |
dc.date.accessioned | 2023-04-21T11:30:04Z | |
dc.date.available | 2023-04-21T11:30:04Z | |
dc.date.issued | 2023-08-01 | |
dc.identifier | 284055319 | |
dc.identifier | abe7a96a-fb74-49c9-b5d9-e3d39fb80029 | |
dc.identifier | 85152964855 | |
dc.identifier.citation | Bhowal , P , Cameron , P J , Nath , R K & Sambale , B 2023 , ' Solvable conjugacy class graph of groups ' , Discrete Mathematics , vol. 346 , no. 8 , 113467 . https://doi.org/10.1016/j.disc.2023.113467 | en |
dc.identifier.issn | 0012-365X | |
dc.identifier.other | ORCID: /0000-0003-3130-9505/work/133729472 | |
dc.identifier.uri | https://hdl.handle.net/10023/27454 | |
dc.description | Funding: The fourth author [BS] is supported by the German Research Foundation (SA 2864/1-2 and SA 2864/3-1). | en |
dc.description.abstract | In this paper we introduce the graph Γsc(G) associated with a group G, called the solvable conjugacy class graph (abbreviated as SCC-graph), whose vertices are the nontrivial conjugacy classes of G and two distinct conjugacy classes C, D are adjacent if there exist x ∈ C and y ∈ D such that x and y generate a solvable group. We discuss the connectivity, girth, clique number, and several other properties of the SCC-graph. One of our results asserts that there are only finitely many finite groups whose SCC-graph has given clique number d, and we find explicitly the list of such groups with d=2. We pose some problems on the relation of the SCC-graph to the solvable graph and to the NCC-graph, which we cannot solve. | |
dc.format.extent | 8 | |
dc.format.extent | 308296 | |
dc.language.iso | eng | |
dc.relation.ispartof | Discrete Mathematics | en |
dc.subject | Clique number | en |
dc.subject | Non-solvable group | en |
dc.subject | Graph | en |
dc.subject | Girth | en |
dc.subject | Conjugacy class | en |
dc.subject | QA Mathematics | en |
dc.subject | Mathematics(all) | en |
dc.subject | T-DAS | en |
dc.subject | MCC | en |
dc.subject.lcc | QA | en |
dc.title | Solvable conjugacy class graph of groups | 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 | 10.1016/j.disc.2023.113467 | |
dc.description.status | Peer reviewed | en |
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