The automorphism groups of regular trees
Sbornik. Mathematics, Tome 32 (1977) no. 1, pp. 109-115
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In the paper the automorphism groups of regular trees are discussed. It is proved that the automorphism groups of regular trees of degree $n>2$ are complete and that the automorphism groups of regular trees of different degrees are different. Figures: 2. Bibliography: 5 titles.
[1] A. A. Zykov, Teoriya konechnykh grafov, t. 1, izd-vo «Nauka», Novosibirsk, 1969
[2] A. G. Kurosh, Teoriya grupp, izd-vo «Nauka», Moskva, 1967 | MR
[3] V. Z. Feinberg, “Gruppy avtomorfizmov derevev”, DAN BSSR, XIII:12 (1969), 1065–1067 | MR
[4] F. Kharari, Teoriya grafov, izd-vo «Mir», Moskva, 1973 | MR
[5] J. Tits, “Sur le groupe des automorphismes d'un arbre”, Essays Topol. and Relat. Topics, Berlin–Göttingen–Heidelberg, 1970, 188–211 | MR | Zbl