Topics in the Theory of Group Presentations

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Cambridge University Press, Jul 31, 1980 - Mathematics - 311 pages
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These notes comprise an introduction to combinatorial group theory and represent an extensive revision of the author's earlier book in this series, which arose from lectures to final-year undergraduates and first-year graduates at the University of Nottingham. Many new examples and exercises have been added and the treatment of a number of topics has been improved and expanded. In addition, there are new chapters on the triangle groups, small cancellation theory and groups from topology. The connections between the theory of group presentations and other areas of mathematics are emphasized throughout. The book can be used as a text for beginning research students and, for specialists in other fields, serves as an introduction both to the subject and to more advanced treatises.
  

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Contents

Examples of presentations
42
Groups with few relations
62
Presentations of subgroups
85
The triangle groups
130
Extensions of groups
147
Small cancellation groups
212
Groups from topology 24 5
245
Guide to the literature and references
291
Index of notation
301
Index
307
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About the author (1980)

D.L. Johnson is son of the late Baptist minister, E. F. Johnson Jr., self-publisher and founder of The Repenters. He published booklets tying Bible eschatology to the UFO phenomenon. These were in print for over twenty years and were available only to those on his mailing list. D.L. Johnson has himself studied Bible prophecy for over thirty years with fifteen of those years including an extensive study of what was dubbed the Infinity Bible code by The Prophecy Club.