﻿ 仿射型群与旗传递6-(v, k, 3)设计

# 仿射型群与旗传递6-(v, k, 3)设计Affine Type Groups and Flag-Transitive 6-(v, k, 3) Designs

Abstract: The classification of flag-transitive designs is an important subject on algebraic combinatorics. And the automorphism groups of a flag-transitive 6-(v, k, 3) design are 3-homogeneous. Therefore, using the classification theorem of 3-homogeneous permutation groups, the classification of flag-transitive 6-(v, k, 3) designs can be discussed, and we prove that the automorphism groups of a flag-transitive 6-(v, k, 3) design are not isomorphic to affine type groups.

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