메뉴 건너뛰기




Volumn 93, Issue 1, 2005, Pages 73-93

2-Arc-transitive regular covers of complete graphs having the covering transformation group Zp3

Author keywords

2 Transitive group; Arc transitive graph; Covering graph; Lifting; Linear group

Indexed keywords


EID: 8844234977     PISSN: 00958956     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jctb.2003.09.003     Document Type: Article
Times cited : (49)

References (30)
  • 1
    • 0001552905 scopus 로고
    • The subgroups of PSL(3,q) for odd q
    • D.M. Bloom The subgroups of PSL (3, q) for odd q Trans. Amer. Math. Soc. 127 1967 150-178
    • (1967) Trans. Amer. Math. Soc. , vol.127 , pp. 150-178
    • Bloom, D.M.1
  • 2
    • 0002097593 scopus 로고
    • Finite permutation groups and finite simple groups
    • P.J. Cameron Finite permutation groups and finite simple groups Bull. London. Math. Soc. 13 1981 1-22
    • (1981) Bull. London. Math. Soc. , vol.13 , pp. 1-22
    • Cameron, P.J.1
  • 3
    • 0001330067 scopus 로고
    • 2-transitive and antiflag transitive collineation groups of finite projective spaces
    • P.J. Cameron W.M. Kantor 2 -transitive and antiflag transitive collineation groups of finite projective spaces J. Algebra 60 1979 384-422
    • (1979) J. Algebra , vol.60 , pp. 384-422
    • Cameron, P.J.1    Kantor, W.M.2
  • 4
    • 0141830765 scopus 로고    scopus 로고
    • Linear criteria for lifting of automorphisms in elementary abelian regular coverings
    • S.F. Du, J.H. Kwak, M.Y. Xu, Linear criteria for lifting of automorphisms in elementary abelian regular coverings, Linear Algebra Appl. 373 (2003) 101-119.
    • (2003) Linear Algebra Appl. , vol.373 , pp. 101-119
    • Du, S.F.1    Kwak, J.H.2    Xu, M.Y.3
  • 6
    • 0033472732 scopus 로고    scopus 로고
    • On the automorphism groups of quasiprimitive almost simple graphs
    • X.G. Fang G. Havas C.E. Praeger On the automorphism groups of quasiprimitive almost simple graphs J. Algebra 222 1999 271-283
    • (1999) J. Algebra , vol.222 , pp. 271-283
    • Fang, X.G.1    Havas, G.2    Praeger, C.E.3
  • 7
    • 0009077873 scopus 로고    scopus 로고
    • A family of non-quasiprimitive graphs admitting a quasiprimitive 2-arc-transitive group action
    • X.G. Fang G. Havas J. Wang A family of non-quasiprimitive graphs admitting a quasiprimitive 2 -arc-transitive group action European J. Combin. 20 1999 551-557
    • (1999) European J. Combin. , vol.20 , pp. 551-557
    • Fang, X.G.1    Havas, G.2    Wang, J.3
  • 8
    • 0009033657 scopus 로고    scopus 로고
    • Automorphism groups of certain non-quasiprimitive almost simple graphs Groups St. Andrews 1997
    • Cambridge University Press, Cambridge
    • X.G. Fang, G. Havas, J. Wang, Automorphism groups of certain non-quasiprimitive almost simple graphs Groups St. Andrews 1997 in Bath, vol. I, London Mathematical Society Lecture Note Series, vol. 260, Cambridge University Press, Cambridge, 1999, 267-274.
    • (1999) Bath, Vol. I, London Mathematical Society Lecture Note Series , vol.260 , pp. 267-274
    • Fang, X.G.1    Havas, G.2    Wang, J.3
  • 9
    • 0003157868 scopus 로고    scopus 로고
    • On graphs admitting arc-transitive actions of almost simple groups
    • X.G. Fang C.E. Praeger On graphs admitting arc-transitive actions of almost simple groups J. Algebra 205 1998 37-52
    • (1998) J. Algebra , vol.205 , pp. 37-52
    • Fang, X.G.1    Praeger, C.E.2
  • 10
    • 0033471542 scopus 로고    scopus 로고
    • Finite two-arc-transitive graphs admitting a Suzuki simple group
    • X.G. Fang C.E. Praeger Finite two-arc-transitive graphs admitting a Suzuki simple group Comm. Algebra 27 1999 3727-3754
    • (1999) Comm. Algebra , vol.27 , pp. 3727-3754
    • Fang, X.G.1    Praeger, C.E.2
  • 11
    • 0040799949 scopus 로고    scopus 로고
    • Finite two-arc-transitive graphs admitting a Ree simple group
    • X.G. Fang C.E. Praeger Finite two-arc-transitive graphs admitting a Ree simple group Comm. Algebra 27 1999 3755-3769
    • (1999) Comm. Algebra , vol.27 , pp. 3755-3769
    • Fang, X.G.1    Praeger, C.E.2
  • 13
    • 38249010739 scopus 로고
    • Distance regular covers of the complete graph
    • C.D. Godsil A.D. Hensel Distance regular covers of the complete graph J. Combin. Theory Ser. B 56 1992 205-238
    • (1992) J. Combin. Theory Ser. B , vol.56 , pp. 205-238
    • Godsil, C.D.1    Hensel, A.D.2
  • 14
  • 16
    • 0039191045 scopus 로고
    • A geometrical approach to imprimitive graphs
    • A. Gardiner C.E. Praeger A geometrical approach to imprimitive graphs Proc. London Math. Soc. 71 1995 524-546
    • (1995) Proc. London Math. Soc. , vol.71 , pp. 524-546
    • Gardiner, A.1    Praeger, C.E.2
  • 18
    • 0000391793 scopus 로고
    • Generating all graph coverings by permutation voltage assignments
    • J.L. Gross T.W. Tucker Generating all graph coverings by permutation voltage assignments Discrete Math. 18 1977 273-283
    • (1977) Discrete Math. , vol.18 , pp. 273-283
    • Gross, J.L.1    Tucker, T.W.2
  • 21
    • 38249003301 scopus 로고
    • On finite affine 2-arc-transitive graphs
    • A.A. Ivanov C.E. Praeger On finite affine 2 -arc-transitive graphs European J. Combin. 14 1993 421-444
    • (1993) European J. Combin. , vol.14 , pp. 421-444
    • Ivanov, A.A.1    Praeger, C.E.2
  • 22
    • 0013467105 scopus 로고    scopus 로고
    • On finite s-transitive graphs of odd order
    • C.H. Li On finite s -transitive graphs of odd order J. Combin. Theory Ser. B 81 2001 307-317
    • (2001) J. Combin. Theory Ser. B , vol.81 , pp. 307-317
    • Li, C.H.1
  • 23
    • 23044525865 scopus 로고    scopus 로고
    • The finite vertex-primitive and vertex-biprimitive s-transitive graphs for s≥4
    • C.H. Li The finite vertex-primitive and vertex-biprimitive s -transitive graphs for s ≥ 4 Trans. Amer. Math. Soc. 353 2001 3511-3529
    • (2001) Trans. Amer. Math. Soc. , vol.353 , pp. 3511-3529
    • Li, C.H.1
  • 24
    • 0013528876 scopus 로고    scopus 로고
    • Group actions, coverings and lifts of automorphisms
    • A. Malnič Group actions, coverings and lifts of automorphisms Discrete Math. 182 1998 203-218
    • (1998) Discrete Math. , vol.182 , pp. 203-218
    • Malnič, A.1
  • 26
    • 0037288580 scopus 로고    scopus 로고
    • On 2-arc-transitivity of Cayley graphs
    • A. Marušič On 2-arc-transitivity of Cayley graphs J. Combin. Theory, Ser. B 87 2003 162-196
    • (2003) J. Combin. Theory, Ser. B , vol.87 , pp. 162-196
    • Marušič, A.1
  • 27
    • 0001781515 scopus 로고
    • The modular permutation representations of the known doubly transitive groups
    • B. Mortimer The modular permutation representations of the known doubly transitive groups Proc. London Math. Soc. 41 1980 1-20
    • (1980) Proc. London Math. Soc. , vol.41 , pp. 1-20
    • Mortimer, B.1
  • 29
    • 84962994087 scopus 로고
    • An O'Nan-Scott theorem for finite quasiprimitive permutation groups and an application to 2-arc transitive graphs
    • 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 1993 227-239
    • (1993) J. London Math. Soc. , vol.47 , pp. 227-239
    • Praeger, C.E.1
  • 30
    • 0347040072 scopus 로고
    • On a reduction theorem for finite, bipartite, 2-arc-transitive graphs
    • C.E. Praeger On a reduction theorem for finite, bipartite, 2 -arc-transitive graphs Australas J. Combin. 7 1993 21-36
    • (1993) Australas J. Combin. , vol.7 , pp. 21-36
    • Praeger, C.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.