The locally 2-arc transitive graphs admitting an almost simple group of Suzuki type
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| Title: | The locally 2-arc transitive graphs admitting an almost simple group of Suzuki type |
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| Authors: | Swartz, Eric1 eswartz@math.binghamton.edu |
| Source: | Journal of Combinatorial Theory - Series A. Jul2012, Vol. 119 Issue 5, p949-976. 28p. |
| Subjects: | Graph theory, Mathematical analysis, Group theory, Combinatorics, Abelian groups, Classification |
| Abstract: | Abstract: In this paper, seven families of vertex-intransitive locally -arc transitive graphs are constructed, where , for some . It is then shown that for any graph Γ in one of these families, and that the only locally 2-arc transitive graphs admitting an almost simple group of Suzuki type whose vertices all have valency at least three are (i) graphs in these seven families, (ii) (vertex transitive) 2-arc transitive graphs admitting an almost simple group of Suzuki type, or (iii) double covers of the graphs in (ii). Since the graphs in (ii) have been classified by Fang and Praeger (1999) , this completes the classification of locally 2-arc transitive graphs admitting a Suzuki simple group [Copyright &y& Elsevier] |
| Copyright of Journal of Combinatorial Theory - Series A is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 72368900 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: The locally 2-arc transitive graphs admitting an almost simple group of Suzuki type – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Swartz%2C+Eric%22">Swartz, Eric</searchLink><relatesTo>1</relatesTo><i> eswartz@math.binghamton.edu</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Combinatorial+Theory+-+Series+A%22">Journal of Combinatorial Theory - Series A</searchLink>. Jul2012, Vol. 119 Issue 5, p949-976. 28p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Graph+theory%22">Graph theory</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+analysis%22">Mathematical analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Group+theory%22">Group theory</searchLink><br /><searchLink fieldCode="DE" term="%22Combinatorics%22">Combinatorics</searchLink><br /><searchLink fieldCode="DE" term="%22Abelian+groups%22">Abelian groups</searchLink><br /><searchLink fieldCode="DE" term="%22Classification%22">Classification</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Abstract: In this paper, seven families of vertex-intransitive locally -arc transitive graphs are constructed, where , for some . It is then shown that for any graph Γ in one of these families, and that the only locally 2-arc transitive graphs admitting an almost simple group of Suzuki type whose vertices all have valency at least three are (i) graphs in these seven families, (ii) (vertex transitive) 2-arc transitive graphs admitting an almost simple group of Suzuki type, or (iii) double covers of the graphs in (ii). Since the graphs in (ii) have been classified by Fang and Praeger (1999) , this completes the classification of locally 2-arc transitive graphs admitting a Suzuki simple group [Copyright &y& Elsevier] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Combinatorial Theory - Series A is the property of Academic Press Inc. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=72368900 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.jcta.2012.01.005 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 28 StartPage: 949 Subjects: – SubjectFull: Graph theory Type: general – SubjectFull: Mathematical analysis Type: general – SubjectFull: Group theory Type: general – SubjectFull: Combinatorics Type: general – SubjectFull: Abelian groups Type: general – SubjectFull: Classification Type: general Titles: – TitleFull: The locally 2-arc transitive graphs admitting an almost simple group of Suzuki type Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Swartz, Eric IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 07 Text: Jul2012 Type: published Y: 2012 Identifiers: – Type: issn-print Value: 00973165 Numbering: – Type: volume Value: 119 – Type: issue Value: 5 Titles: – TitleFull: Journal of Combinatorial Theory - Series A Type: main |
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