On Vertex-Uniprimitive Non-Cayley Graphs of Order pq
Let p and q be distinct odd primes. Let Γ = (V (Γ),E(Γ)) be a non-Cayley vertex-transitive graph of order pq. Let G ≤ Aut(Γ) acts primitively on the vertex set V (Γ). In this paper, we show that G is uniprimitive which is primitive but not 2-transitive and we obtain some information about p,q and th...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Kashan
2020-12-01
|
| Series: | Mathematics Interdisciplinary Research |
| Subjects: | |
| Online Access: | https://mir.kashanu.ac.ir/article_110819_2f9cf57410bdcf1a32da73d1f6251cb4.pdf |
| _version_ | 1797630840626216960 |
|---|---|
| author | Mohammad Ali Iranmanesh |
| author_facet | Mohammad Ali Iranmanesh |
| author_sort | Mohammad Ali Iranmanesh |
| collection | DOAJ |
| description | Let p and q be distinct odd primes. Let Γ = (V (Γ),E(Γ)) be a non-Cayley vertex-transitive graph of order pq. Let G ≤ Aut(Γ) acts primitively on the vertex set V (Γ). In this paper, we show that G is uniprimitive which is primitive but not 2-transitive and we obtain some information about p,q and the minimality of the Socle T = Soc(G) |
| first_indexed | 2024-03-11T11:13:36Z |
| format | Article |
| id | doaj.art-8635185ac32f4e1ab4030124494f0b2f |
| institution | Directory Open Access Journal |
| issn | 2476-4965 |
| language | English |
| last_indexed | 2024-03-11T11:13:36Z |
| publishDate | 2020-12-01 |
| publisher | University of Kashan |
| record_format | Article |
| series | Mathematics Interdisciplinary Research |
| spelling | doaj.art-8635185ac32f4e1ab4030124494f0b2f2023-11-11T08:14:12ZengUniversity of KashanMathematics Interdisciplinary Research2476-49652020-12-015431531910.22052/mir.2020.240329.1249110819On Vertex-Uniprimitive Non-Cayley Graphs of Order pqMohammad Ali Iranmanesh0Department of Mathematical Science, Yazd University, Yazd, 89195-741, I. R. IranLet p and q be distinct odd primes. Let Γ = (V (Γ),E(Γ)) be a non-Cayley vertex-transitive graph of order pq. Let G ≤ Aut(Γ) acts primitively on the vertex set V (Γ). In this paper, we show that G is uniprimitive which is primitive but not 2-transitive and we obtain some information about p,q and the minimality of the Socle T = Soc(G)https://mir.kashanu.ac.ir/article_110819_2f9cf57410bdcf1a32da73d1f6251cb4.pdfuniprimitive groupnon-cayley graphsocle |
| spellingShingle | Mohammad Ali Iranmanesh On Vertex-Uniprimitive Non-Cayley Graphs of Order pq Mathematics Interdisciplinary Research uniprimitive group non-cayley graph socle |
| title | On Vertex-Uniprimitive Non-Cayley Graphs of Order pq |
| title_full | On Vertex-Uniprimitive Non-Cayley Graphs of Order pq |
| title_fullStr | On Vertex-Uniprimitive Non-Cayley Graphs of Order pq |
| title_full_unstemmed | On Vertex-Uniprimitive Non-Cayley Graphs of Order pq |
| title_short | On Vertex-Uniprimitive Non-Cayley Graphs of Order pq |
| title_sort | on vertex uniprimitive non cayley graphs of order pq |
| topic | uniprimitive group non-cayley graph socle |
| url | https://mir.kashanu.ac.ir/article_110819_2f9cf57410bdcf1a32da73d1f6251cb4.pdf |
| work_keys_str_mv | AT mohammadaliiranmanesh onvertexuniprimitivenoncayleygraphsoforderpq |