✦ LIBER ✦

Determination of a class of primitive permutation groups

✍ Scribed by Warren J. Wong

Publisher: Springer-Verlag
Year: 1967
Tongue: French
Weight: 611 KB
Volume: 99
Category: Article
ISSN: 0025-5874
DOI: 10.1007/bf01112454

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Factorizations of Primitive Permutation

Factorizations of Primitive Permutation Groups

✍ Barbara Baumeister 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 309 KB

Transitive Subgroups of Primitive Permut

Transitive Subgroups of Primitive Permutation Groups

✍ Martin W. Liebeck; Cheryl E. Praeger; Jan Saxl 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 492 KB

to helmut wielandt on the occasion of his 90th birthday We investigate the finite primitive permutation groups G which have a transitive subgroup containing no nontrivial subnormal subgroup of G. The conclusion is that such primitive groups are rather rare, and that their existence is intimately co

Primitive simple permutation groups of s

Primitive simple permutation groups of small degrees

✍ V. I. Il'in; A. S. Takmakov 📂 Article 📅 1986 🏛 Springer US 🌐 English ⚖ 348 KB

On primitive permutation groups containi

On primitive permutation groups containing a cycle

✍ Alan Williamson 📂 Article 📅 1973 🏛 Springer-Verlag 🌐 French ⚖ 207 KB

Asymptotic Results for Primitive Permuta

Asymptotic Results for Primitive Permutation Groups

✍ L Pyber; A Shalev 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 216 KB

We prove that the number of conjugacy classes of primitive permutation groups cŽ n. ## Ž . of degree n is at most n , where n denotes the maximal exponent occurring in the prime factorization of n. This result is applied to investigating maximal subgroup growth of infinite groups. We then proceed

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.