|
|||||
 |
|
|
|
|
|
|
|
Rank three innately
transitive permutation groups and related $2$-transitive
groups
Anton A. Baykalov, Alice Devillers and Cheryl E. Praeger |
|
Vol. 20 (2023), No. 2-3, 135–175
|
Abstract |
|
The sets of primitive, quasiprimitive, and innately transitive permutation groups may each be regarded as the building blocks of finite transitive permutation groups, and are analogues of composition factors for abstract finite groups. This paper extends classifications of finite primitive and quasiprimitive groups of rank at most to a classification for the finite innately transitive groups. The new examples comprise three infinite families and three sporadic examples. A necessary step in this classification was the determination of certain configurations in finite almost simple -transitive groups called special pairs. |
|
Dedicated to the memory of Jacques Tits |
PDF Access Denied
We have not been able to recognize your IP address
18.222.83.185
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 40.00:
Keywords
rank 3, permutation group, partial linear space, innately
transitive, 2-transitive
|
Mathematical Subject Classification
Primary: 20B05, 20B10, 20B20
|
Milestones
Received: 22 August 2022
Revised: 5 November 2022
Accepted: 4 December 2022
Published: 13 September 2023
|
Authors |
| Anton A. Baykalov | |
| Centre for the Mathematics of
Symmetry and Computation Department of Mathematics and Statistics The University of Western Australia Perth Australia |
|
| Alice Devillers | |
| Centre for the Mathematics of
Symmetry and Computation Department of Mathematics and Statistics The University of Western Australia Perth Australia |
|
| Cheryl E. Praeger | |
| Centre for the Mathematics of
Symmetry and Computation Department of Mathematics and Statistics The University of Western Australia Perth Australia |
|
| © 2023 MSP (Mathematical Sciences Publishers). |
