London Mathematical Society Student Texts synopsis
This text introduces modern group theory methods as tools that can be applied to other areas of mathematics. The author describes many applications in abstract geometry and real analysis, and in some cases, in topology and algebra.
The book begins with a tour of the basics of the theoretical group, culminating in a guide to Zema's Lemma and discussing some of its applications. The author then develops concepts of cross-border induction and descriptive group theory, with applications of real function theory. The last part of the book presents the tools of "modern" group theory: Martin Axiom, the Diamond Principle, and Elements of Compulsion.
Primarily written as a text for graduate students at the postgraduate or advanced level, this book should also interest researchers who want to learn more about the specific theoretical techniques applied to their fields.
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