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Visual Group Theory
Visual Group Theory
Nathan Carter
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Group theory is the branch of mathematics that studies symmetry, found in crystals,
art, architecture, music and many other contexts, but its beauty is lost on students
when it is taught in a technical style that is difficult to understand. Visual Group
Theory assumes only a high school mathematics background and covers a typical
undergraduate course in group theory from a thoroughly visual perspective. The
more than 300 illustrations in Visual Group Theory bring groups, subgroups, homo-
morphisms, products, and quotients into clear view. Every topic and theorem is
accompanied with a visual demonstration of its meaning and import, from the basics
of groups and subgroups through advanced structural concepts such as semidirect
products and Sylow theory.
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