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Abstract. The combinatorial surfaces with doubly transitive automorphism groups are classified. This is established by classifying
the automorphism groups of combinatorial surfaces which act doubly transitively on the vertices of the surface. The doubly
transitive automorphism groups of combinatorial surfaces are the symmetric group S
4
, the alternating group A
5
and the Frobenius group C
7
· C
6
. In each case the combinatorial surface is uniquely determined. The symmetric group S
4
acts doubly transitively on the tetrahedron surface, the alternating group A
5
on the triangulation of the projective plane with six vertices and the Frobenius group C
7
· C
6
on the Moebius torus with seven vertices. 相似文献
2.
Abstract. The combinatorial surfaces with doubly transitive automorphism groups are classified. This is established by classifying
the automorphism groups of combinatorial surfaces which act doubly transitively on the vertices of the surface. The doubly
transitive automorphism groups of combinatorial surfaces are the symmetric group S
4
, the alternating group A
5
and the Frobenius group C
7
· C
6
. In each case the combinatorial surface is uniquely determined. The symmetric group S
4
acts doubly transitively on the tetrahedron surface, the alternating group A
5
on the triangulation of the projective plane with six vertices and the Frobenius group C
7
· C
6
on the Moebius torus with seven vertices. 相似文献
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