Geodesic
Automorphism groups of Steiner triple systems
Doyen, Jean1 ; Kantor, William M.2
1 Université Libre de Bruxelles Bruxelles 1050 Belgium
2 U. of Oregon Eugene OR 97403 and Northeastern U. Boston MA 02115
Algebraic Combinatorics, Tome 5 (2022) no. 4, pp. 593-608 Cet article a éte moissonné depuis la source Numdam

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If G is a finite group then there is an integer M G such that, for u≥M G and u≡1 or 3 (mod 6), there is a Steiner triple system U on u points for which Aut U≅G. If V is a Steiner triple system then there is an integer N V such that, for u≥N V and u≡1 or 3 (mod 6), there is a Steiner triple system U on u points having V as an Aut U-invariant subsystem such that Aut U≅ Aut V and Aut U induces Aut V on V.

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DOI : 10.5802/alco.240
Classification : 05B07, 05B25, 51E10
Keywords: Steiner triple system, Automorphism group

Doyen, Jean 1 ; Kantor, William M. 2

1 Université Libre de Bruxelles Bruxelles 1050 Belgium
2 U. of Oregon Eugene OR 97403 and Northeastern U. Boston MA 02115
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {Automorphism groups of {Steiner} triple systems},
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Doyen, Jean; Kantor, William M. Automorphism groups of Steiner triple systems. Algebraic Combinatorics, Tome 5 (2022) no. 4, pp. 593-608. doi: 10.5802/alco.240

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