Finite s-arc transitive graphs of prime-power order

Bulletin of the London Mathematical Society

Volumn 33, Issue 2, 2001, Pages 129-137

  Li, Cai Heng ^a  

^a UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0013538383     PISSN: 00246093     EISSN: None     Source Type: Journal    
DOI: 10.1112/blms/33.2.129     Document Type: Article

References (20)

1. N. BIGGS, Algebraic graph theory (2nd edn, Cambridge University Press, New York, 1992).
2. P. CAMERON, 'Finite permutation groups and finite simple groups', Bull. London Math. Soc. 13 (1981) 1-22.
3. M. CONDER, 'An infinite family of 5-arc transitive cubic graphs', Ars Combin. 25(A) (1988) 95-108.
4. M. CONDER and C. WALKER, 'The infinitude of 7-arc transitive graphs', J. Algebra 208 (1998) 619-629.
5. C. D. GODSIL, 'On the full automorphism group of a graph', Combinatorica 1 (1981) 243-256.
6. R. GURALNICK, 'Subgroups of prime power index in a simple group', J. Algebra 81 (1983) 304-311.
7. A. A. IVANOV and C. E. PRAEGER, 'On finite affine 2-arc transitive graphs', European J. Combin. 14 (1993) 421-444.
8. A. A. IVANOV and C. E. PRAEGER, 'On locally projective graphs of girth 5', J. Algebraic Combin. 7 (1998) 259-283.
9. C. H. LI, 'On finite groups with the Cayley invariant property', Bull. Austral. Math. Soc. 56 (1997) 252-261.
10. C. H. LI, 'A family of quasiprimitive 2-arc-transitive graphs which have non-quasiprimitive full automorphism groups', European J. Combin. 19 (1998) 499-502.
11. C. H. LI, 'The finite vertex-primitive and vertex-biprimitive s-transitive graphs for s ≥ 4', Trans. Amer. Math. Soc., to appear.
12. C. H. LI, C. E. PRAEGER, A. VENKATESH and S. ZHOU, 'Finite locally quasiprimitive graphs', Discrete Math., to appear.
13. M. LIEBECK, 'The affine permutation groups of rank three', Proc. London Math. Soc. (3) 54 (1987) 477-516.
14. C. E. PRAEGER, 'Primitive permutation groups with doubly transitive subconstituent', J. Austral. Math. Soc. Ser. A 45 (1988) 66-77.
15. C. E. PRAEGER, 'The inclusion problem for finite primitive permutation groups', Proc. London Math. Soc. (3) 60 (1990) 68-88.
16. C. E. PRAEGER, 'An O'Nan-Scott theorem for finite quasiprimitive permutation groups and an application to 2-arc transitive graphs', J. London Math. Soc. 47 (1992) 227-239.
17. C. E. PRAEGER, 'On a reduction theorem for finite bipartite 2-arc transitive graphs', Australas. J. Combin. 7 (1993) 21-36.
18. C. E. PRAEGER, 'Finite transitive permutation groups and finite vertex-transitive graphs', Graph symmetry: algebraic methods and applications, NATO Adv. Sci. Inst. Ser. C 497 (1997) 277-318.
19. G. O. SABIDUSSI, 'Vertex-transitive graphs', Monatsh. Math. 68 (1964) 426-438.
20. R. WEISS, 'The nonexistence of 8-transitive graphs', Combinatorica 1 (1981) 309-311.