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Gordon, L. M.; Levingston, Richard

The construction of some automorphic graphs. (English) Zbl 0469.05035

Geom. Dedicata 10, 261-267 (1981).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0469.05035

Cited in 3 Documents

MSC:

05C25 Graphs and abstract algebra (groups, rings, fields, etc.)
20B25 Finite automorphism groups of algebraic, geometric, or combinatorial structures
20G40 Linear algebraic groups over finite fields

Keywords:

distance-transitive graph; primitive group; automorphic graph; intersection array

Citations:

Zbl 0333.05108; Zbl 0414.05039
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Full Text: DOI

References:

[1] Biggs, N.L.,Algebraic Graph Theory (Cambridge Math. Tracts, No. 67), Cambridge University Press, London, 1974. · Zbl 0284.05101
[2] Biggs, N.L., ?Automorphic Graphs and the Krein Condition?,Geom. Dedicata 5, 117-127 (1976). · Zbl 0333.05108 · doi:10.1007/BF00148146
[3] Brauer, R. and Tuan, H., ?On Simple Groups of Finite Order, I?,Bull. Am. Math. Soc. 51, 756-766 (1945). · Zbl 0061.03706 · doi:10.1090/S0002-9904-1945-08441-9
[4] Dembowski, P.,Finite Geometries, Springer, Berlin, Heidelberg, New York, 1968.
[5] Feit, W. and Higman, G., ?The Nonexistance of Certain Generalized Polygons?,J. Alg. 1, 114-131 (1964). · Zbl 0126.05303 · doi:10.1016/0021-8693(64)90028-6
[6] Fong, P. and Seitz, G.M., ?Groups with a (B, N)-Pair of Rank 2, II?,Invent. Math. 24, 191-239 (1974). · Zbl 0295.20049 · doi:10.1007/BF01390051
[7] Hall, M., Jr, ?Simple Groups of Order less than One Million?,J. Alg. 20, 98-102 (1972). · Zbl 0239.20014 · doi:10.1016/0021-8693(72)90090-7
[8] Sims, C.C., ?Computational Methods in the Study of Permutation Groups?,Computational Problems in Abstract Algebra (Oxford, 1967), Pergamon Press, Oxford, 1970, pp. 169-183.
[9] Wielandt, H.,Finite Permutation Groups, Academic Press, New York, London, 1964. · Zbl 0138.02501
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