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The primitive permutation groups of degree 2a·3b

✍ Scribed by Xianhua Li; Mingyao Xu

Publisher
Springer
Year
2006
Tongue
English
Weight
93 KB
Volume
86
Category
Article
ISSN
0003-889X

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📜 SIMILAR VOLUMES

The primitive permutation groups of cert
The primitive permutation groups of certain degrees
✍ Cai Heng Li 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 764 KB

This paper precisely classifies all simple groups with subgroups of index n and all primitive permutation groups of degree n, where n = 2.3', 5.3' or 10.3' for Y 2 1. As an application, it proves positively Gardiner and Praeger's conjecture in [6] regarding transitive groups with bounded movement.

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.

The affine primitive permutation groups
The affine primitive permutation groups of degree less than 1000
✍ Colva M. Roney-Dougal; William R. Unger 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 189 KB

In this paper we complete the classification of the primitive permutation groups of degree less than 1000 by determining the irreducible subgroups of GL(n, p) for p prime and p n < 1000. We also enumerate the maximal subgroups of GL(8, 2), GL(4, 5) and GL(6, 3).

On the List of Finite Primitive Permutat
On the List of Finite Primitive Permutation Groups of Degree ≤ 50
✍ FRANCIS BUEKENHOUT; DIMITRI LEEMANS 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 454 KB

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.