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The affine primitive permutation groups of degree less than 1000

✍ Scribed by Colva M. Roney-Dougal; William R. Unger

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 189 KB
Volume: 35
Category: Article
ISSN: 0747-7171
DOI: 10.1016/s0747-7171(03)00031-2

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✦ Synopsis

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).

📜 SIMILAR VOLUMES

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✍ 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.

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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.