论文信息 - Rank 3 Latin square designs - 字舞流文

Rank 3 Latin square designs

A Latin square design whose automorphism group is transitive of rank at most 3 on points must come from the multiplication table of an elementary abelian p-group, for some prime p.

Alice Devillers | Jonathan I. Hall

[1] Alice Devillers. A classification of finite partial linear spaces with a primitive rank 3 automorphism group of almost simple type , 2005 .

[2] H. Weyl. Permutation Groups , 2022 .

[3] G. Jones. PERMUTATION GROUPS (London Mathematical Society Student Texts 45) , 2000 .

[4] W. Scott,et al. Proceedings of the Conference on Finite Groups , 1976 .

[5] Brian Parshall,et al. ON THE 1-COHOMOLOGY OF FINITE GROUPS OF LIE TYPE , 1976 .

[6] R. A. Bailey. Latin squares with highly transitive automorphism groups , 1982 .

[7] M. Aschbacher. Chevalley groups of type G2 as the group of a trilinear form , 1987 .

[8] Francis Buekenhout. Handbook of incidence geometry : buildings and foundations , 1995 .

[9] Norman L. Johnson,et al. The Non-Solvable Rank 3 Affine Planes , 2001, J. Comb. Theory, Ser. A.