Linear Groups and Computation
Chapman & Hall/CRC (Publisher)
1st Edition
Published on 1. March 2026
Book
Hardback
304 pages
978-1-4987-0082-5 (ISBN)
Description
This book covers computational group theory (CGT), an active, rapidly expanding field at the interface of mathematics and computer science. It is the first systematic effort to establish computing with infinite matrix groups on the same footing as the rest of CGT. The book emphasizes practical methods based on results of linear group theory, solutions of fundamental algorithmic problems, and provision of software. Additionally, the book sets out a research program to make further progress in the area.
More details
Language
English
Place of publication
Oxford
United States
Publishing group
Taylor & Francis Inc
Target group
College/higher education
This book is intended for mathematicians in group theory. It also would be useful to mathematicians, computer scientists, and engineers in computing.
Illustrations
20 s/w Abbildungen
20 Illustrations, black and white
Dimensions
Height: 234 mm
Width: 156 mm
Weight
453 gr
ISBN-13
978-1-4987-0082-5 (9781498700825)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Persons
Dane Flannery, PhD, is a Senior Lecturer in Mathematics at the National University of Ireland, Galway.
Alla Detinko, PhD, is a Research Fellow at the National University of Ireland, Galway.
Alla Detinko, PhD, is a Research Fellow at the National University of Ireland, Galway.
Content
Part I. Basic Concepts and Constructions. The Elements of Linear Group Theory. Classes of Linear Groups. Finitely Generated Linear Groups. Part II. Computing with Finitely Generated Matrix Groups. Finiteness. The Tits Alternative and Related Problems. Computing in Linear Groups of Finite Rank.