Name
Abstract | ||
|---|---|---|
In 2011, Fang et al. in [9] posed the following problem: Classify non-normal locally primitive Cayley graphs of finite simple groups of valency d, where either d≤20 or d is a prime number. The only case for which the complete solution of this problem is known is of d=3. Except this, a lot of efforts have been made to attack this problem by considering the following problem: Characterize finite nonabelian simple groups which admit non-normal locally primitive Cayley graphs of certain valency d≥4. Even for this problem, it was only solved for the cases when either d≤5 or d=7 and the vertex stabilizer is solvable. In this paper, we make crucial progress towards the above problems by completely solving the second problem for the case when d≥11 is a prime and the vertex stabilizer is solvable. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1016/j.jcta.2020.105303 | Journal of Combinatorial Theory, Series A |
Keywords | DocType | Volume |
Cayley graph,Simple group,Arc-transitive graph | Journal | 177 |
ISSN | Citations | PageRank |
0097-3165 | 0 | 0.34 |
References | Authors | |
0 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yin Fu-Gang | 1 | 0 | 0.34 |
| Yan-quan Feng | 2 | 350 | 41.80 |
| Jin-Xin Zhou | 3 | 156 | 25.22 |
| Chen Shan-Shan | 4 | 0 | 0.34 |