𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Characterization of Certain 2-Transitive Groups

✍ Scribed by T. Peterfalvi


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
357 KB
Volume
164
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Cyclic Quotients of Transitive Groups
✍ Robert M. Guralnick πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 170 KB

this paper is dedicated to helmut wielandt on the occasion of his 90th birthday Let A be a transitive subgroup of S n . We show that the largest cyclic quotient of A has order at most n. This can be interpreted as an equivalent result about extensions of constants in the Galois closure of a coverin

Characterization of (m, 1)-transitive an
✍ Zsolt Tuza πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 875 KB

A directed graph is called (m, k)-transitive if for every directed path x0x1 . ..x. there is a directed path y,y, . ..yt such that x0 =y ,,, x,=yl,, and {yiIO<iik}c{xiIO<i<m}. We describe the structure of those (m, 1)-transitive and (3,2)-transitive directed graphs in which each pair of vertices is

Transitive Permutation Groups of Minimal
✍ Avinoam Mann; Cheryl E. Praeger πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 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

Transitive Subgroups of Primitive Permut
✍ Martin W. Liebeck; Cheryl E. Praeger; Jan Saxl πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 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