Closures of Finite Primitive Permutation Groups | Zendy

Praeger Cheryl E. | Zendy; Saxl Jan | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

Closures of Finite Primitive Permutation Groups

Author(s) -

Praeger Cheryl E.,

Saxl Jan

Publication year - 1992

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/blms/24.3.251

Subject(s) - mathematics , primitive permutation group , combinatorics , permutation group , permutation (music) , invariant (physics) , closure (psychology) , cyclic permutation , symmetric group , mathematical physics , physics , acoustics , economics , market economy

Let G be a primitive permutation group on a finite set Ω, and, for k ⩾ 2, let G ( k ) be the k ‐closure of G , that is, the largest subgroup of Sym (Ω) preserving all the G ‐invariant k ‐relations on Ω. Suppose that G < H ⩽ G ( k ) and G and H have different socles. It is shown that k ⩽5 and the groups G and H are classified explicitly.

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research