Semiregular automorphisms of arc-transitive graphs with valency p q

European Journal of Combinatorics

Volumn 29, Issue 3, 2008, Pages 622-629

  Xu, Jing ^a  

^a PEKING UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 39749145136     PISSN: 01956698     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejc.2007.04.008     Document Type: Article

References (14)

1. Cameron P.J., Giudici M., Jones G.A., Kantor W.M., Klin M.H., Marušič D., and Nowitz L.A. Transitive permutation groups without semiregular subgroups. J. London Math. Soc. 66 (2002) 325-333
2. In: Cameron P.J. (Ed). Problems from the fifteenth British combinatorial conference. Discrete Math. 167-168 (1997) 605-615
3. Dixon J.D., and Mortimer B. Permutation Groups (1996), Springer-Verlag, New York, Heidelberg, Berlin
4. Dobson E., Malnič A., Marušič D., and Nowitz L.A. Minimal normal subgroups of transitive permutation groups of square-free degree. Discrete Math. 307 (2007) 373-385
5. Dobson E., Malnič A., Marušič D., and Nowitz L.A. Semiregular automorphisms of vertex-transitive graphs of certain valencies. J. Combin. Theory Ser. B. 97 (2007) 371-380
6. M. Giudici, Fixed point free elements of prime order in permutation groups, Ph.D. Thesis, University of London. Available on the web at: http://www.maths.uwa.edu.au/~giudici/research.html, 2002
7. Giudici M. Quasiprimitive permutation groups with no fixed point free elements of prime order. J. London Math. Soc. 67 (2003) 73-84
8. M. Giudici, New constructions of groups without semiregular subgroups, Comm. Algebra (in press)
9. Giudici M., and Xu J. All vertex-transitive locally-quasiprimitive graphs have a semiregular automorphism. J. Algebraic Combin. 25 (2007) 217-232
10. Marušič D. On vertex symmetric digraphs. Discrete Math. 36 (1981) 69-81
11. Marušič D., and Scapellato R. Permutation groups, vertex-transitive digraphs and semiregular automorphisms. European J. Combin. 19 (1998) 707-712
12. Praeger C.E. Imprimitive symmetric graphs. Ars Combin. 19 A (1985) 149-163
13. Scott L.L. Representations in characteristic p. The Santa Cruz Conference on Finite Groups. Proceedings of Symposia in Pure Mathematics vol. 37 (1980) 319-331
14. H. Wielandt, Permutation Groups Through Invariant Relations and Invariant Functions, in: Lecture Notes, Ohio State University, Columbus, 1969. Also published in: Wielandt, Helmut, Mathematische Werke/Mathematical works, in: Group theory, vol. 1, Walter de Gruyter & Co., Berlin, 1994, pp. 237-296