✦ LIBER ✦

On the Movement of a Permutation Group

✍ Scribed by Peter M. Neumann; Cheryl E. Praeger

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 56 KB
Volume: 214
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1998.7705

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Transitive Permutation Groups of Minimal

Transitive Permutation Groups of Minimal Movement

✍ Avinoam Mann; Cheryl E. Praeger 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 133 KB

For a permutation group G on a set S, the mo¨ement of G is defined as the maximum cardinality of subsets T of S for which there exists an element x g G x Ž such that T is disjoint from its translate T that is, when such subsets have . bounded cardinality . It was shown by the second author that, if

The Maximal Number of Orbits of a Permut

The Maximal Number of Orbits of a Permutation Group with Bounded Movement

✍ Jung R. Cho; Pan Soo Kim; Cheryl E. Praeger 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 58 KB

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.

Computing the Subgroups of a Permutation

Computing the Subgroups of a Permutation Group

✍ John J. Cannon; Bruce C. Cox; Derek F. Holt 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 279 KB

A new method for computing the conjugacy classes of subgroups of a finite group is described.

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