𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the List of Finite Primitive Permutation Groups of Degree ≤ 50

✍ Scribed by FRANCIS BUEKENHOUT; DIMITRI LEEMANS

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
454 KB
Volume
22
Category
Article
ISSN
0747-7171

No coin nor oath required. For personal study only.

✦ Synopsis

We complete data in Sims' list of the 406 primitive permutation groups of degree ≤ 50, as given in a CAYLEY library, by an explicit description of the structure of the 202 groups missing till now. The completed list is available in MAGMA.

📜 SIMILAR VOLUMES

On the Minimal Degree of a Primitive Per
On the Minimal Degree of a Primitive Permutation Group
✍ Robert Guralnick; Kay Magaard 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 237 KB

We improve a result of Liebeck and Saxl concerning the minimal degree of a primitive permutation group and use it to strengthen a result of Guralnick and Neubauer on generic covers of Riemann surfaces.

On Permutation Groups of Finite Type
On Permutation Groups of Finite Type
✍ Clara Franchi 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 213 KB

A permutation group G is said to be a group of finite type {k}, k a positive integer, if each nonidentity element of G has exactly k fixed points. We show that a group G can be faithfully represented as an irredundant permutation group of finite type if and only if G has a non-trivial normal partiti

Representing the Quotient Groups of a Fi
Representing the Quotient Groups of a Finite Permutation Group
✍ Derek F. Holt; Jacqueline Walton 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 207 KB

Let G be a permutation group of finite degree d. We prove that the product of the orders of the composition factors of G that are not alternating groups acting naturally, in a sense that will be made precise, is bounded by c d-1 /d, where c = 4 5. We use this to prove that any quotient G/N of G has