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Introduction to Groups and Geometries
David W. Lyons
Contents
Index
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Contents
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Up
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Front Matter
Colophon
Preface
About the author
1
Preliminaries
Complex Numbers
Quaternions
Stereographic projection
Equivalence Relations
2
Groups
Examples of groups
Definition of a group
Subgroups and cosets
Group homomorphisms
Group actions
Additional exercises
3
Geometries
Geometries and models
Möbius geometry
Hyperbolic geometry
Elliptic geometry
Projective geometry
Additional exercises
Back Matter
A
Solutions to Exercises
Further topics
References
Index
Notation
Authored in PreTeXt
Introduction to Groups and Geometries
David W. Lyons
Department of Mathematical Sciences
Lebanon Valley College
Annville, PA, USA
lyons@lvc.edu
"Beta" edition, January 2021, revised:October 15, 2020
Comments, discussion, error reports, and so on, are welcome.
Colophon
Preface
About the author
