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Automorphism groups of graphs as topological groups. (English. Russian original) Zbl 0596.05033
Math. Notes 38, 717-720 (1985); translation from Mat. Zametki 38, No. 3, 378-385 (1985).
A criterium of the equality of the lengths of paired suborbits of the transitive automorphism group of a locally finite graph is obtained.
Reviewer: R.I.Tyshkevich

05C25 Graphs and abstract algebra (groups, rings, fields, etc.)
Full Text: DOI
[1] V. I. Trofimov, ?Graphs with polynomial growth,? Mat. Sb.,123, No. 3, 407-421 (1984). · Zbl 0548.05033
[2] J.-P. Serre, Galois Cohomology [Russian translation], Mir, Moscow (1968).
[3] H. Busemann, Geometry of Geodesics [Russian translation], Fizmatgiz, Moscow (1962). · Zbl 0112.37202
[4] V. I. Trofimov, ?Growth functions of Permutation groups,? Tr. Inst. Mat. Sib. Otd. Akad. Nauk SSSR,4, 118-138 (1984).
[5] G. Schlichting, ?Operationen mit periodischen Stabilisatoren,? Arch. Math.,34, 97-99 (1980). · Zbl 0449.20004 · doi:10.1007/BF01224936
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