Introduction and background
File(s)
Accepted version
Author(s)
De Franceschi, Giovanni
Liebeck, Martin
O'Brien, Eamonn
Type
Chapter
Abstract
This book is a study of conjugacy in finite classical groups: the general and special linear, symplectic, orthogonal and unitary groups over finite fields. In this chapter we introduce the three main conjugacy problems studied. In Section 1.1 we describe the problems and some of their history. In Section 1.2 we present both our strategy to solve them and a summary of our main results. Finally, in Sections 1.3–1.6 we discuss our related algorithms and their performance, and the role they play in the solution of these problems for arbitrary finite groups.
Date Issued
2025-05-06
Citation
Conjugacy in finite classical groups, 2025, pp.1-11
ISBN
978-3-031-86460-5
Publisher
Springer Nature
Start Page
1
End Page
11
Journal / Book Title
Conjugacy in finite classical groups
Springer Monographs in Mathematics
Copyright Statement
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2025.
Article Number
1